4th Class Mathematics Area, Perimeter and Volume Question Bank Perimeter & Area

  • question_answer The square and the rectangle given have the same perimeter. Find the length of each side of the square.            

    A)  15 cm            

    B)    13 cm

    C)    12 cm            

    D)    14 cm

    Correct Answer: B

    Solution :

    Area of the rectangle \[=\text{ 8 }\times \text{ breadth }=\text{ 144 c}{{\text{m}}^{\text{2}}}\] (Given) \[\Rightarrow \text{breadth =}\frac{144}{8}\text{ cm =18 cm}\] Perimeter of rectangle                   \[=\text{2 (18}+\text{8) cm}=(\text{2}\times \text{26})\text{ cm}=\text{52 cm}\] \[\therefore \] Perimeter of the square \[=\text{4}\times \text{ side}=\text{52 cm}\] \[\therefore \] Length of its side \[=\text{ 52 cm }\div \text{ 4}=\text{13 cm}\]


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