Question

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12km/hour completes one round in 8 minutes, then the area of the park is

• A. 153650 sq.metre
• B. 135600 sq.metre
• C. 153600 sq.metre
• D. 156300 sq.metre

Answer 1

Answer:

C. 153600 sq.metre

.Distance covered by man in 8 minutes

$= \frac{12\times{1000}\times{8}}{60}metre$

$=1600metre$ = Perimeter of park

Length of park = 3x metre (let)

$2 (3x + 2x) = 1600$

$5x=\frac{1600}{2}=800$

$x=160$

Area of park = 3x × 2x = 6x²

= 6 × (160)²

= 153600 sq. metre