Question

The diagonal of a rectangular field is 60 m more than the shorter side. If the longer side is 30 m more than the shorter side, then the sides are ______.

Options

• 60 m, 90 m

• 80 m, 110 m

• 90 m, 120 m

• 110 m, 140 m

Answer 1

The diagonal of a rectangular field is 60 m more than the shorter side. If the longer side is 30 m more than the shorter side, then the sides are 90 m, 120 m.

Explanation: For shorter side 90 m, the longer side is 120 m and the diagonal is 150 m, which is 60 m more than the shorter side. The sides also satisfy 90² + 120² = 150²; the other pairs do not meet both conditions.