Question

The ratio between the length and the breadth of a rectangular park is 4 : 7. If a man cycling along the boundary of the park at the speed of 24 km/hour completes one round in 11 minutes, then the area of the park is

• A. 1440000
• B. 1503000
• C. 1120000
• D. 1200000

Answer 1

Answer:

C. 1120000

Distance covered by man in 8 minutes

$= \frac{24\times{1000}\times{11}}{60}metre$

$=4400metre$ = Perimeter of park

Length of park = 4x metre (let)

Breadth = 7x

$2(4x + 7x) = 4400$

$11x=\frac{4400}{2}=200$

$x=200$

Area of park = 4x × 7x = 28x²

= 28 × (200)²

= 1120000 sq. metre