Question

Aju starts from his home and walks x meters in north direction. After that he turns right and walks another x meters. He meets his friends and then reaches back home by the shortest possible path. The area enclosed by the path taken by Aju for the whole journey is 50 m². What is x?

• A. m
• B. 10m
• C. 7m
• D. 6m

Answer 1

The correct option is B

10m

Let his home be at D.

The path taken by him forms an isosceles right angle triangle.

Area of ∆ABC = $\frac{1}{2}\times x\times x$
Therefore, $\frac{1}{2}\times x^2$ = 50 (given)
$\Rightarrow x^2=100$
$\Rightarrow x=10m$