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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