Question

The diagonal of a rectangular field is 60 meters more than the shorter side. If the longer side is 30 meters more than the shorter side, find the sides of the field.

Answer 1

Let the length of smaller side of rectangle be then larger side be and their diagonal be

Then, as we know that Pythagoras theorem

But, the side of rectangle can never be negative.

Therefore, when then

Hence, length of smaller side of rectangle be and larger side be