Question

A rectangular park is 45 m long and 30 m wide. A path 2.5 m wide is constructed outside the park. Find the area of the path.

Answer 1

Let ABCD represent the rectangular park and the shaded region represents the path 2.5 m wide.

To find the area of the path, we need to find (Area of rectanglePQRS – Area of rectangle ABCD).

We have,
PQ = (45 + 2.5 + 2.5) m = 50 m
PS = (30 + 2.5 + 2.5) m = 35 m

Area of the rectangle ABCD = l × b = 45 × 30 m² = 1350 m²

Area of the rectangle PQRS = l × b = 50 × 35 m² = 1750 m²

Area of the path = Area of the rectangle PQRS − Area of the rectangle ABCD

= (1750 − 1350) m² = 400 m².