7th Class Mathematics Perimeter and Area Question Bank

done Perimeter and Area Total Questions - 45

• question_answer1)
  The circumference of a circle is\[44\text{ }m\]. What is its area?
  A)
   \[6084.5\,{{m}^{2}}\]    done clear
  B)
   \[276.5\,{{m}^{2}}\] done clear
  C)
   \[154\,{{m}^{2}}\]         done clear
  D)
   \[44\,{{m}^{2}}\] done clear
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• question_answer2)
  If the area of a circle is \[2464\text{ }{{m}^{2}},\] find its diameter,                             
  A)
   \[56\,m\]              done clear
  B)
          \[154\,m\]        done clear
  C)
   \[176\,m\]        done clear
  D)
          \[206\,m\] done clear
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• question_answer3)
  The circular grass lawn of radius \[35\text{ }m\]has a path of width \[7\text{ }m\] around it on the outside. What is the area of the path?
  A)
   \[1496\,{{m}^{2}}\]        done clear
  B)
          \[1450\,{{m}^{2}}\] done clear
  C)
   \[1576\,{{m}^{2}}~\]     done clear
  D)
          \[1694\,{{m}^{2}}\]          done clear
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• question_answer4)
  The difference between the circumference and radius of a circle is\[37\text{ }m\]. What is the circumference of the circle?
  A)
   \[7\,m\]              done clear
  B)
          \[44\,m\]   done clear
  C)
   \[154\,m\]         done clear
  D)
          \[88\,m\]           done clear
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• question_answer5)
  How many plants (approximately) will be there in a circular bed whose outer edge measures \[30\text{ }cm\] allowing \[4\text{ }c{{m}^{2}}\]for each plant?
  A)
   18                            done clear
  B)
          750 done clear
  C)
   24                          done clear
  D)
          120 done clear
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• question_answer6)
  When the circumference and area of a circle are numerically equal, what is the diameter numerically equal to?        
  A)
   Area         done clear
  B)
   Circumference done clear
  C)
   271          done clear
  D)
   4   done clear
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• question_answer7)
  If the ratio of circumferences of two circles is \[4:9,\] what is the ratio of their areas?
  A)
   \[9:4\]                  done clear
  B)
          \[16:81\]   done clear
  C)
   \[4:9\]                                  done clear
  D)
   \[2:3\] done clear
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• question_answer8)
  If the area of a circle is A, radius is r and circumference is C, which of the following is true?
  A)
   \[rC=2A\]             done clear
  B)
          \[\frac{C}{A}=\frac{r}{2}\] done clear
  C)
   \[AC=\frac{{{r}^{2}}}{4}\]            done clear
  D)
          \[\frac{A}{r}=C\] done clear
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• question_answer9)
  What is the breadth of a rectangular sheet of perimeter \[100\text{ }cm\] and length\[35\text{ }cm\]?
  A)
   \[35\,cm\]          done clear
  B)
          \[20\,cm\] done clear
  C)
   \[15\,cm\]            done clear
  D)
          \[50\,cm\] done clear
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• question_answer10)
  A wall hanging is in the shape given in the figure. Find its perimeter.
  A)
   \[176\text{ }cm\]            done clear
  B)
          \[146\text{ }cm\] done clear
  C)
   \[44\,cm\]          done clear
  D)
          \[88\,cm\]   done clear
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• question_answer11)
  A wire bent in the form of a circle of radius \[42\text{ }cm\] is again bent in the form of a square. What is the ratio of the regions enclosed by the circle and the square?
  A)
   \[11:12\]             done clear
  B)
          \[21:33\] done clear
  C)
   \[22:33\]             done clear
  D)
          \[14:11\]   done clear
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• question_answer12)
  The length and the breadth of a rectangular piece of land are \[400\text{ }m\] and \[250\text{ }m\] respectively. What is the cost of the land at Rs. 1000 per square metre?
  A)
   Rs.10 lakhs   done clear
  B)
   Rs.1 crore done clear
  C)
   Rs.10 crores   done clear
  D)
   Rs.10 thousands done clear
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• question_answer13)
  In the given figure, ABCD is a parallelogram. \[DL\bot AB\] and \[DM\bot BC\]. If \[AB=18cm,\] \[BC=12cm\]and \[DM=10cm,\]find DL                                
  A)
   \[6\frac{1}{2}cm\]          done clear
  B)
          \[6\,cm\] done clear
  C)
                   \[6\frac{2}{3}\,cm\]         done clear
  D)
          \[6\frac{3}{4}\,cm\] done clear
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• question_answer14)
  In the following figure, ABCD is a   parallelogram. \[DL\bot AB\] and \[AB=13\text{ }cm=AD\] . If the area of parallelogram is \[156\text{ }c{{m}^{2}},\]find AL.
  A)
   \[5\,\,cm\]   done clear
  B)
                          \[6\,\,cm\] done clear
  C)
   \[7\,\,cm\]         done clear
  D)
          \[8\,\,cm\] done clear
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• question_answer15)
  The length and breadth of a rectangular hall in a model are \[0.4\text{ }m\] and \[30\text{ }cm\]respectively. What is the distance between the opposite corners of the wall in the model?
  A)
   \[34.16\,m\]                      done clear
  B)
          \[50\,m\] done clear
  C)
   \[34.16\text{ }cm\]      done clear
  D)
          \[50\,cm\]   done clear
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• question_answer16)
  In the figure given, \[PR=22\text{ }cm,\] \[SN=MQ=3cm\].What is the area of PQRS?
  A)
   \[66\,\,sq.\,\,cm\]            done clear
  B)
          \[63\,\,sq.\,\,cm\] done clear
  C)
    \[34\,\,sq.\,\,cm\]         done clear
  D)
          \[198\,\,sq.\,\,cm\] done clear
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• question_answer17)
  Find the area of a verandah \[2.25\text{ }m\] wide constructed outside a room \[5.5\text{ }m\] long and 4 m wide.
  A)
   \[36\,sq.\,m\]                  done clear
  B)
          \[63\,sq.\,m\]   done clear
  C)
   \[64\,sq.\,m\]                  done clear
  D)
          \[84\,sq.\,m\] done clear
  View Solution play_arrow

• question_answer18)
  The longer side of a parallelogram is \[81\text{ }cm\]and the corresponding altitude is\[16\text{ }cm\]. If the length of shorter side is \[24\text{ }cm,\]what is the altitude corresponding to the shorter side?
  A)
   \[36\text{ }cm\]              done clear
  B)
          \[48\,cm\] done clear
  C)
   \[54\,cm\]                            done clear
  D)
   \[24\,cm\] done clear
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• question_answer19)
  One side of a parallelogram is 2.4 dam and its area is 576 m2. Find the corresponding altitude.
  A)
   \[24\text{ }m\]                  done clear
  B)
          \[24\text{ c}m\] done clear
  C)
   \[24\text{ d}m\]              done clear
  D)
          \[24\text{ da}m\] done clear
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• question_answer20)
  A field is in the form of a parallelogram whose base is \[420\text{ }m\] and altitude is \[3.6\] dam. Find the cost of watering the field at 10 paise per sq m.
  A)
   Rs.15120             done clear
  B)
          Rs.1512   done clear
  C)
   Rs.151.20            done clear
  D)
          Rs.1512.28 done clear
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• question_answer21)
  Find the area of the triangle whose base is 14 dam and height is 650 cm.
  A)
   \[455\,d{{m}^{2}}\]        done clear
  B)
          \[455\text{ }da{{m}^{2}}\] done clear
  C)
   \[455\,\,c{{m}^{2}}\]                     done clear
  D)
          \[455\,\,{{m}^{2}}\]   done clear
  View Solution play_arrow

• question_answer22)
  Find the altitude of a triangle whose base   is \[24\,cm,\] and area is \[672\text{ }c{{m}^{2}}\].
  A)
   \[48\text{ }cm\]              done clear
  B)
          \[56\text{ }cm\]   done clear
  C)
   \[46\text{ }m\]                done clear
  D)
          \[58\text{ }cm\] done clear
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• question_answer23)
  Two sides of a right triangle containing the right angle are \[100\text{ }cm\] and\[8.6\text{ }cm\]. Find its area.
  A)
   \[430\,sq.cm\]     done clear
  B)
   \[43\,sq.m\] done clear
  C)
   \[430\,sq.m\]    done clear
  D)
   \[430\,\,cm\] done clear
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• question_answer24)
  If ABCD is a rectangle having length \[30\text{ }cm\] and breadth \[20\text{ }cm,\] E, F and G are midpoints of AB, CD and AD respectively, find the area of the unshaded part.
  A)
   \[400\,\,c{{m}^{2}}\]                     done clear
  B)
          \[450\,\,c{{m}^{2}}\]   done clear
  C)
   \[375\,\,c{{m}^{2}}\]                     done clear
  D)
          \[500\,\,c{{m}^{2}}\] done clear
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• question_answer25)
  What is the difference of circumferences of the circles shown?
  A)
   22 cm                                     done clear
  B)
   20 cm done clear
  C)
   24cm                                    done clear
  D)
   26cm done clear
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• question_answer26)
  In a parallelogram ABCD, the diagonal AC measures 34 m and the perpendicular distance of AC from either of the vertices B and D is 12 m. Find area of parallelogram.
  A)
   204sq.m    done clear
  B)
   408sq.m   done clear
  C)
   816sq.m    done clear
  D)
   806sq.m done clear
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• question_answer27)
  ABCD is a rectangle having length \[30\text{ }cm\] and breadth \[25\,cm\]. R Q, R and S are midpoints of AB, BC, CD and AD respectively. What is the area of the shaded part?
  A)
                   \[375\,{{m}^{2}}\]          done clear
  B)
          \[375\,c{{m}^{2}}\]   done clear
  C)
                   \[475\,{{m}^{2}}\]          done clear
  D)
          \[425\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer28)
  If ABCD is a parallelogram, what is the ratio of areas of parallelogram ABCD and \[\Delta ABC\]?
  A)
   \[1:2\]        done clear
  B)
                          \[2:1\]   done clear
  C)
   \[3:2\]                  done clear
  D)
          \[2:3\] done clear
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• question_answer29)
  What is the area of the shaded part in the figure given that the side of square ABCD is \[90\text{ }m\] and the side of square PQRS is 100m?
  A)
   \[1900\,\,sq\,m\]     done clear
  B)
   \[2000\text{ }sq\,m\] done clear
  C)
   \[1000\text{ }sq\,m\]    done clear
  D)
   \[2500\text{ }sq\,m\] done clear
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• question_answer30)
  A farmer had a rectangular plot measuring \[500\text{ }m\] by \[100\text{ }m\]. If he fences the plot 4 times with barbed wire, what length of wire was used?
  A)
   \[4800\,m\]        done clear
  B)
          \[1000\,m\] done clear
  C)
   \[300\,m\]         done clear
  D)
          \[1200\,m\] done clear
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• question_answer31)
  The playground of school is as shown.                 What is the perimeter of the playground?
  A)
   \[420\text{ }m\]                done clear
  B)
          \[200\text{ }m\] done clear
  C)
   \[220\text{ }m\]              done clear
  D)
          \[840\text{ }m\] done clear
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• question_answer32)
  The hour hand of a clock is \[4.5\text{ }cm\] long. What distance does its tip cover in 12 hours?
  A)
   \[28\,m\]            done clear
  B)
          \[336\,cm\] done clear
  C)
   \[28.28\,cm\]                      done clear
  D)
          \[12\,cm\] done clear
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• question_answer33)
  The figure shows a parallelogram PQRS. What is its area?
  A)
   \[100\,\,c{{m}^{2}}\]                       done clear
  B)
   \[1\,\,{{m}^{2}}\] done clear
  C)
   \[100\,\,cm\]    done clear
  D)
          \[1\,m\] done clear
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• question_answer34)
  The measurements in the given figure are in cm. What is its area?
  A)
   \[200\,c{{m}^{2}}\]        done clear
  B)
          \[186\,c{{m}^{2}}\] done clear
  C)
   \[210\,c{{m}^{2}}\]                          done clear
  D)
   \[196\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer35)
  If the length of the diagonal of a square is \[12\sqrt{2}\,\,cm,\] what is its perimeter?
  A)
   \[38\,cm\]          done clear
  B)
          \[44\,cm\] done clear
  C)
   \[48\,cm\]            done clear
  D)
          \[54\,cm\] done clear
  View Solution play_arrow

• question_answer36)
  If the perimeter of a semicircle is \[144\text{ }cm,\] what is its area?
  A)
   \[1232\,\,c{{m}^{2}}\]                     done clear
  B)
          \[1223\,\,c{{m}^{2}}\] done clear
  C)
   \[1322\,\,c{{m}^{2}}\]                   done clear
  D)
          \[1323\,\,c{{m}^{2}}\] done clear
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• question_answer37)
  The diameter of a wheel of a cycle is\[70\text{ }cm\]. It moves slowly along a road. What distance will it cover in 24 complete revolutions?  
  A)
   5820cm                done clear
  B)
          5280cm         done clear
  C)
   5028cm                done clear
  D)
          5082cm       done clear
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• question_answer38)
  If the perimeter of a square increases by 25%, what is the increase in its area?   
  A)
   \[\frac{245}{4}%\]                          done clear
  B)
   \[\frac{235}{4}%\] done clear
  C)
   \[\frac{225}{4}%\]            done clear
  D)
          \[\frac{215}{4}%\] done clear
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• question_answer39)
  How many square centimetres make 1 square metre?
  A)
   100                        done clear
  B)
          10000            done clear
  C)
   1000                      done clear
  D)
          100000 done clear
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• question_answer40)
  Find the circumference of the semicircular region with diameter\[10\text{ }cm\].
  A)
   \[\frac{25}{7}\,cm\]      done clear
  B)
          \[25\frac{5}{7}\,cm\]   done clear
  C)
   \[27\frac{5}{7}\,cm\]                     done clear
  D)
          \[25\,cm\] done clear
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• question_answer41)
  If the radius of a circle is increased by 1 unit, what is the ratio of circumference and the diameter of circle so formed?
  A)
   \[\pi :1\]               done clear
  B)
          \[1:\pi \] done clear
  C)
   \[\pi :3\]             done clear
  D)
          \[3:\pi \] done clear
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• question_answer42)
  Find the difference between the perimeters of the square and circle in the figure given.
  A)
   \[57.2\,cm\]                      done clear
  B)
   \[15.6\,cm\]   done clear
  C)
   \[72.8\,cm\]                                      done clear
  D)
   \[52.7\,cm\] done clear
  View Solution play_arrow

• question_answer43)
  The length around a rectangular mat is                                                                                                              \[21\text{ }m\] . If its length is                                                                                                               \[5\text{ }m\]                                                                                                              \[60\text{ }cm,\] what is its width?
  A)
   4m 90 cm              done clear
  B)
          490m done clear
  C)
   49m                      done clear
  D)
          49cm done clear
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• question_answer44)
  The perimeter of rectangular piece of paper is 56 cm. If the length is three times its width, what is its width?
  A)
   8 cm                                      done clear
  B)
   56 cm done clear
  C)
   7 cm                                        done clear
  D)
   21 cm done clear
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• question_answer45)
  The floor of a room measures 12 m by 10 m. A carpet is placed on the floor from wall to wall. What is the area of the carpet?
  A)
    \[120\,{{m}^{2}}\]                   done clear
  B)
         \[1200\,m\] done clear
  C)
    \[120\,m\]                 done clear
  D)
           \[1200\,{{m}^{2}}\] done clear
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