Question

If a rectangular garden has length 24 m and breadth 10 m, find the length of the diagonal of a square garden which has the same area as that of the rectangular garden?

• A. 4√30
• B. 2√13m
• C. 4√13m
• D. 15
• E. 20 m

Answer 1

The correct option is A

4√30

Area of rectangular garden = 24 x 10 = Area of square garden = $\frac{{\left(Diagonal\right)}^2}{2}$ $\Rightarrow {\left(Diagonal\right)}^2=240\times 2\Rightarrow diagonal=4\sqrt{30}{m}^{}$