Question

In a park a rectangular path given outside for walking around the grassland of length 28 m., and breadth 20m. If the width of the walking path is 2m., find the area of walking path.

Answer 1

Given inner length of the park l = 28 m 

Breadth b = 20 m

Area of the inner rectangle = l × b 

= 28 × 20 

= 560 sq.m 

Path laid outside around the grassland. 

Width of the path = 2 m

So, outer length of rectangle 

l = Inner length + 2 × Width 

= 28 + 2 × 2 = 28 + 4 = 32 m 

Breadth b = 20 + 2 × 2 

= 20 + 4 = 24m 

Area of the outer rectangle = l × b = 32 × 24 = 768 sq.m 

∴ Area of the walking path = outer area – inner area 

= 768 – 560 = 208 sq.m.