Question

The ratio between the length and the breadth of a rectangular park is 4 : 1. If a man cycling along the boundary of the park at the speed of 6 kmph completes one round in 8 minutes, then the area of the park is equal to

• A. 23600 m2
• B. 25500 m2
• C. 25600 m2
• D. 15800 m2

Answer 1

Answer:

C. 25600 m2

Length of park = 4x metre (let)

Breadth = x metre

Perimeter of park = Distance covered by cyclist

$=\frac{6\times{8}}{60}=\frac{8}{10}km$

$=[\frac{8}{10}\times{1000}]metre$

$=800metre$

According to the question,

$2 (4x + 1x) = 800$

$10x=800$

$x=80$

Area of the park $= 4x × x= 4x²

= 4 × (80)²

= 25600 sq. metre