The length of a rectangle is twice its width. given the length of the diagonal is $5\sqrt{5}$, find the area of the rectangle.

Area of rectangle is 50 square units.

Step-by-step explanation:

Since we have given that

Diagonal of the rectangle = 5√5

Let the width of rectangle be 'x'

Let the length of rectangle be '2x'

As we know the formula for diagonal of rectangle:

So, Length of rectangle be 2x=2×5=10 units

And the area of the rectangle is given by

Hence, area of rectangle is 50 square units.