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  3. 6th Class
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  5. Mensuration

6th Class Mathematics Mensuration Question Bank Menstruation

  • question_answer
    A square piece of paper is folded as shown in the figure. If the area of each shaded triangles is 225 cm2, then the perimeter of the piece of the paper when it is unfolded, is

    A)  100cm          

    B)    120cm

    C)  125cm           

    D)    60cm

    Correct Answer: B

    Solution :

         Area of 2 triangles \[=2\left[ \frac{1}{2}\times \text{base}\times \text{height} \right]\] = [base \[\times \] height] = [base \[\times \] base] \[(\because \,\,Base=Height)\] \[={{(base)}^{2}}\]. But area \[=225\Rightarrow \,{{(base)}^{2}}=225\] \[\Rightarrow \] base =15 cm Thus, side of square = 15 + 15 = 30 cm. \[\therefore \]  Required perimeter = 4 (30) = 120 cm.


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