A rectangle WXYZ is 45 m long and 35 m wide. A path is constructed towards the inner side of the rectangle that is 3 m wide. Find the area of the path?

A rectangle WXYZ is 45 m long and 35 m wide. A path is constructed towards the inner side of the rectangle that is 3 m wide. Find the area of the path?

Explanation

Outer rectangle area = 45 × 35 = 1575 m²

Inner rectangle dimensions = (45 – 6) × (35 – 6) = 39 × 29 = 1131 m²

(3 m removed from each side → total 6 m from length & width)

Area of path = 1575 – 1131 = 444 m²