Question

The length of a rectangular park is 14 m more than its breadth. If the perimeter of the park is 200 m, what is its length? Find the area of the park

Answer 1

Given length of rectangular park is 14 m more than its breadth.

Let the breadth be 'b' m

∴ Length of the park will be l = b + 14 m

Given perimeter = 200 m

2 × (l + b) = 200 m

2 × (b + 14 + b) = 200 m  ...[∵ l = b + 14]

2 × (2b + 14) = 200 m

2b + 14 = `200/2` m

2b + 14 = 100 m

2b = 100 – 14 m

2b = 86 m

b = `86/2` m

b = 43 m

Length Length of the park = 57 m

Area of a rectangle = (length × breadth) unit²

= (57 × 43) m² 

= 2,451 m²

Area of the park = 2,451 m²