Question

A rectangle has length $4$ cm and breadth $3$ cm. Now a square is drawn on one diagonal of the rectangle. Now find the area of the square and its diagonal.

Answer 1

Given the length and breadth of the rectangle are $4$ cm and $3$ cm respectively.

Now length of its diagonal is $\sqrt{3^2+4^2}=5$ cm.

As a square is drawn on the diagonal of the rectangle, then side of the square is $5$ cm.

Now area of the square is $4\times 5=20$ cm${}^2$ and its diagonal is of $5\sqrt{2}$ cm.