Question

The ratio between the length and the breadth of a rectangular Jogging Park is 3: 2. If Ashish cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is

Options

• 3,07,200 sq. m

• 30,720 sq. m

• 1,53,600 sq. m

• 15,360 sq. m

Answer 1

1,53,600 sq. m

Explanation:

Area = 3x × 2x = 6x²

Perimeter = 3x + 2x = 5x

Speed = 12 km/s = ${\displaystyle 12\times \frac{5}{18}}$ m/s

Time = 8 min = 480 sec

${\displaystyle \frac{\text{Perimeter}}{\text{Speed}}=\text{Time}}$

${\displaystyle =\frac{5x\times 2}{\frac{10}{3}}=480}$

x = 160

Area = 6 × (160)² = 153,600 sq.m.