4th Class Mathematics Area, Perimeter and Volume Question Bank

done Perimeter & Area Total Questions - 55

• question_answer1)
  What do you call a curve which begins and ends at the same point?
  A)
   A closed curve done clear
  B)
   An open curve done clear
  C)
   A normal curve done clear
  D)
   A definite curve done clear
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• question_answer2)
  Which of these is expressed in units of length?
  A)
   Area                            done clear
  B)
   Perimeter                    done clear
  C)
   Boundary        done clear
  D)
     Closed curve done clear
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• question_answer3)
  What is the perimeter of a square field whose side is 4 m?
  A)
   8 m                 done clear
  B)
     10m                done clear
  C)
   12 m               done clear
  D)
     16 m done clear
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• question_answer4)
  Find the perimeter of a rectangle whose length is 25 cm, and breadth is 15 cm.
  A)
   80 cm             done clear
  B)
     40 cm done clear
  C)
     50 cm             done clear
  D)
     81 cm done clear
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• question_answer5)
  What is the perimeter of the triangle whose sides are 20 cm, 25 cm and 30 cm?
  A)
   45 cm             done clear
  B)
     150 cm           done clear
  C)
     75 cm             done clear
  D)
     60 cm done clear
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• question_answer6)
  Which of the following is expressed in square units?
  A)
   Perimeter        done clear
  B)
     Area                done clear
  C)
   Square            done clear
  D)
     Rectangle done clear
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• question_answer7)
  The figure shown is made up of 6 identical rectangles. If its perimeter is 108 cm, find the breadth of each rectangle.
  A)
   10 cm             done clear
  B)
     15 cm done clear
  C)
     7 cm               done clear
  D)
     28 cm done clear
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• question_answer8)
  The figure shows two identical shade squares, each of side 9 cm, placed within a rectangle. What is the perimeter of the rectangle?
  A)
   90 cm             done clear
  B)
     45 cm done clear
  C)
     27 cm             done clear
  D)
     80 cm done clear
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• question_answer9)
  ABCD is a square. Find the perimeter of the shaded region.
  A)
   23 cm             done clear
  B)
     32 cm done clear
  C)
     46 cm             done clear
  D)
     64 cm done clear
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• question_answer10)
  A playground which is 250 m long and 20 m broad is to be fenced with wire. How much wire is needed?
  A)
   270 m             done clear
  B)
     230 m done clear
  C)
     540 m             done clear
  D)
     5000 m done clear
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• question_answer11)
  If the perimeter of a square is 144m, what is the measure of its side?
  A)
   34 m   done clear
  B)
     36 m   done clear
  C)
   44 m   done clear
  D)
     38 m done clear
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• question_answer12)
  How much distance is covered by a farmer if he walks around a field of length 120 m and breadth 80 m?
  A)
   200 m done clear
  B)
     300 m done clear
  C)
     400 m done clear
  D)
     500 m done clear
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• question_answer13)
  What is the perimeter of the given figure?
  A)
   25 cm done clear
  B)
     21 dm done clear
  C)
   2 m 5 dm        done clear
  D)
     2 m 50 dm done clear
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• question_answer14)
  Find the perimeter of the shaded part of the figure given if the unshaded square has a perimeter of 48 cm.
  A)
   105 cm           done clear
  B)
   104 cm           done clear
  C)
     102 cm           done clear
  D)
     100 cm done clear
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• question_answer15)
  Find the sum of the perimeters of the figures given.
  A)
   350 cm                       done clear
  B)
   360 cm           done clear
  C)
     370 cm           done clear
  D)
     380 cm done clear
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• question_answer16)
  Find the missing length in the following figure.
  A)
   6 cm done clear
  B)
                             4 cm   done clear
  C)
     2 cm               done clear
  D)
     5 cm done clear
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• question_answer17)
  If a hexagon of perimeter 24 cm has sides of equal lengths, what is the length of its side?
  A)
   2 cm               done clear
  B)
     4 cm   done clear
  C)
     6 cm               done clear
  D)
     8 cm done clear
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• question_answer18)
  A wall is made up of square bricks of unit length as shown in the given figure. What is its area?
  A)
   1 sq unit          done clear
  B)
     3 sq units        done clear
  C)
     20 sq units    done clear
  D)
     24 sq units done clear
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• question_answer19)
  Find the perimeter of the triangle given.
  A)
   150 cm     done clear
  B)
     90.6 cm          done clear
  C)
     690 cm           done clear
  D)
     300 cm done clear
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• question_answer20)
  If the radius of the circle is 4 cm, what is the perimeter of the square? If the radius of the circle is 4 cm, what is the perimeter of the square?
  A)
   28 cm             done clear
  B)
     24 cm done clear
  C)
   32 cm             done clear
  D)
     36 cm done clear
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• question_answer21)
  The figures are drawn on a grid of equal squares. Which shape has a different area than the others?
  A)
   Figure P          done clear
  B)
     Figure Q         done clear
  C)
     Figure R          done clear
  D)
     Figure S done clear
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• question_answer22)
  The figure shows a rectangular field. The length of the field is twice its breadth. Find the perimeter, of the field.
  A)
   24 cm             done clear
  B)
     72 cm done clear
  C)
     36 cm             done clear
  D)
     288 \[\text{c}{{\text{m}}^{\text{2}}}\] done clear
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• question_answer23)
  Which of the following squares has a perimeter of 56cm?
  A)
  done clear
  B)
                done clear
  C)
  done clear
  D)
                done clear
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• question_answer24)
  The figure shows a square PQRS. What is the perimeter of the shaded part?
  A)
   10 cm             done clear
  B)
     20 cm done clear
  C)
     30 cm             done clear
  D)
     50 cm done clear
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• question_answer25)
  In the figure, the square and the rectangle have the same perimeter.   Find the side of the square.
  A)
   8 cm               done clear
  B)
     10 cm done clear
  C)
     15cm              done clear
  D)
     20 cm done clear
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• question_answer26)
  Which of the following shapes has the shortest perimeter?
  A)
    done clear
  B)
    done clear
  C)
    done clear
  D)
    done clear
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• question_answer27)
  The figure shows a framed picture. Find the perimeter of the picture in cm.
  A)
   46                   done clear
  B)
     23                   done clear
  C)
   64                   done clear
  D)
     32 done clear
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• question_answer28)
  Figures (i) and (ii) show two identical rectangles X and Y which are arranged differently.       What is the difference in their perimeters?
  A)
   2 cm               done clear
  B)
     6 cm   done clear
  C)
     4 cm               done clear
  D)
     8 cm done clear
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• question_answer29)
  The figure given is made up of 3 identical rectangles. Find the perimeter of the whole figure.            
  A)
   98 cm             done clear
  B)
     112 cm           done clear
  C)
     120 cm           done clear
  D)
     128 cm done clear
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• question_answer30)
  The figure given has a perimeter of 51 cm. \[\text{AB}=\text{CD}=\text{AD}=\text{12 cm}.\] Find the length of the curved line.
  A)
   12 cm             done clear
  B)
     15 cm done clear
  C)
     27 cm             done clear
  D)
     39 cm done clear
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• question_answer31)
  Rectangles A, B and C are identical. Find the perimeter of the figure.
  A)
   36 cm             done clear
  B)
     45 cm done clear
  C)
     54 cm             done clear
  D)
     63 cm done clear
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• question_answer32)
  What is the area of the shaded figure if the area of a grid square is 2 cm2?
  A)
   36 \[\text{c}{{\text{m}}^{\text{2}}}\]        done clear
  B)
     32 \[\text{c}{{\text{m}}^{\text{2}}}\]        done clear
  C)
   18 \[\text{c}{{\text{m}}^{\text{2}}}\]        done clear
  D)
   30 \[\text{c}{{\text{m}}^{\text{2}}}\] done clear
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• question_answer33)
  The square and the rectangle given have the same perimeter. Find the length of each side of the square.            
  A)
   15 cm             done clear
  B)
     13 cm done clear
  C)
     12 cm             done clear
  D)
     14 cm done clear
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• question_answer34)
  Find the perimeter of the figure shown.
  A)
   138 cm           done clear
  B)
     183cm done clear
  C)
   120 cm           done clear
  D)
   238 cm done clear
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• question_answer35)
  Figures A and B have the same perimeter.                         Find the length x.
  A)
                11 cm             done clear
  B)
     44 cm done clear
  C)
     22 cm             done clear
  D)
     80 cm done clear
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• question_answer36)
  The figure given shows two identical rectangles, each measuring 8cm by 4 cm, overlapping one another. The shaded area is \[\frac{1}{4}\] of each rectangle. Find the perimeter of the unshaded part of the figure.
  A)
   34 cm             done clear
  B)
     36 cm done clear
  C)
     28 cm             done clear
  D)
     26 cm done clear
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• question_answer37)
  The figure is made of identical rectangles. What is its perimeter?
  A)
                35 cm             done clear
  B)
     40 cm done clear
  C)
   45 cm             done clear
  D)
     50 cm done clear
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• question_answer38)
  The perimeter of the rectangle is twice the perimeter of the square. What is the length of each side of the square?
  A)
                112 cm           done clear
  B)
     56 cm done clear
  C)
     28 cm             done clear
  D)
     7 cm done clear
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• question_answer39)
  Find the perimeter of a rectangular field if its length is three times its breadth.
  A)
   302 m             done clear
  B)
     3200 cm         done clear
  C)
   408 m             done clear
  D)
     320 m done clear
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• question_answer40)
  A rectangle has a perimeter of 58 cm. The difference between its length and breadth is 12 cm. Find its length and breadth.
  A)
   \[l=\text{ 2}0.\text{5 cm},\text{ b }=\text{ 9}.\text{5 cm}\] done clear
  B)
   \[l=\text{ 8}.\text{5 cm},\text{ b }=\text{ 2}0.\text{5 cm}\] done clear
  C)
   \[l=\text{2}0.\text{5 cm},\text{ b}=\text{ 8}.\text{5 cm}\] done clear
  D)
   \[l=\text{ 2}0\text{ cm},\text{ b}=\text{ 8}.\text{5 cm}\,\] done clear
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• question_answer41)
  Find the perimeter of the rectangle shown.
  A)
   372 m                         done clear
  B)
   396 m done clear
  C)
   198 m             done clear
  D)
     807 m done clear
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• question_answer42)
  A wire 48 cm long is bent to form a square. Find the side of the square.
  A)
   12 cm             done clear
  B)
     16 \[\text{c}{{\text{m}}^{\text{2}}}\]        done clear
  C)
     36 \[\text{c}{{\text{m}}^{\text{2}}}\]        done clear
  D)
     20 cm done clear
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• question_answer43)
  Which of the following figures, each made up of 1 cm squares, have the same perimeter? (i) (ii) (iii)                (iv)
  A)
   Only (i) and (ii) done clear
  B)
   Only (i) and (iv) done clear
  C)
   Only (iii) and (iv) done clear
  D)
   Only (ii) and (iv) done clear
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• question_answer44)
  Find the perimeter of the figure given.
  A)
       56 cm             done clear
  B)
     58 cm done clear
  C)
     60 cm             done clear
  D)
     62 cm done clear
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• question_answer45)
  The figure is made up of 4 identical squares. Find the area of the shaded part if area of each square is 6\[\text{c}{{\text{m}}^{\text{2}}}\].
  A)
   192 \[\text{c}{{\text{m}}^{\text{2}}}\]     done clear
  B)
   256 \[\text{c}{{\text{m}}^{\text{2}}}\]      done clear
  C)
     64 \[\text{c}{{\text{m}}^{\text{2}}}\]        done clear
  D)
     320 \[\text{c}{{\text{m}}^{\text{2}}}\] done clear
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• question_answer46)
  The figure is made up of a square of side 16 cm and 4 identical triangles. Find its perimeter. Find its perimeter
  A)
   80 cm                         done clear
  B)
   20 cm done clear
  C)
     64 cm             done clear
  D)
     128 cm done clear
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• question_answer47)
  Figure A is a rectangle measuring 15 cm by 9 cm. Figure B is made up of 3 identical squares. Both the figures, A and B, have the same perimeter. Find the side of the square.
  A)
   10 cm                         done clear
  B)
   6 cm   done clear
  C)
     36 cm             done clear
  D)
     64 cm done clear
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• question_answer48)
  The figure given is formed using five ^^ identical rectangles. The perimeter of the figure is 66 cm. Find the perimeter of each rectangle.
  A)
   30 cm done clear
  B)
                             15 cm done clear
  C)
   18 cm             done clear
  D)
     135 cm done clear
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• question_answer49)
  In the figure given, a garden with dimensions 50 m by 30 m has a pathway of width 2 m. What is the perimeter of the pathway?
  A)
   15 6m                         done clear
  B)
   14 6m done clear
  C)
   15 8m             done clear
  D)
   160 m done clear
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• question_answer50)
  Square ABCD is formed by four identical rectangles and a small square in the centre. The side of square ABCD is 11 cm and the side of the small square in the centre is 7 cm.             What is the length of each rectangle?
  A)
   7 cm                           done clear
  B)
   12cm  done clear
  C)
                 9 cm               done clear
  D)
     11 cm done clear
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• question_answer51)
  The breadth of a rectangle is 19 cm. Its length is 3 times longer than its breadth. Find the perimeter of the rectangle.
  A)
   52 cm                         done clear
  B)
   418 cm           done clear
  C)
   108 cm           done clear
  D)
     152 cm done clear
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• question_answer52)
  Phani jogged around a rectangular field 4 times. If the rectangular field was 135 m long and 78 m wide, how far did Phani jog?
  A)
    426 m                        done clear
  B)
   852 m done clear
  C)
   127 8 m          done clear
  D)
     170 4 m done clear
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• question_answer53)
  The perimeter of a square is 76 cm. Find its area.
  A)
   18 cm             done clear
  B)
     16 cm done clear
  C)
     19 cm             done clear
  D)
     67 cm done clear
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• question_answer54)
  A Ramana had a rectangular garden 79 m wide. If he spent Rs. 2244 to fence it at Rs. 6 perimeter, find the perimeter of his garden.
  A)
   740 m                         done clear
  B)
   374 m done clear
  C)
   108 m             done clear
  D)
     187 m done clear
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• question_answer55)
  Each side of a square field is 17 m. How much does it cost to fence the field completely with a wire at Rs. 29 per metre?
  A)
   Rs. 71972                   done clear
  B)
     Rs. 1700         done clear
  C)
   Rs. 4624         done clear
  D)
     Rs. 493 done clear
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