• # 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

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 $=\text{ 52 cm }\div \text{ 4}=\text{13 cm}$