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 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

15360

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153600

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30720

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307200

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Solution

The correct option is B
153600

Distance covered in 8 minutes $= \frac{12000 \times 8}{60} m = 1600 m$

Let length = 3x metres and breadth = 2x metres.

Then, 2(3x + 2x) = 1600 or x = 160.

$∴$ Length = 480 m and Breadth = 320 m.

$∴ A r e a = (480 \times 320) m^{2} = 153600 m^{2}$ .

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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 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

The correct option is B 153600 Distance covered in 8 minutes =12000×860 m=1600m Let length = 3x metres and breadth = 2x metres. Then, 2(3x + 2x) = 1600 or x = 160. ∴ Length = 480 m and Breadth = 320 m. ∴ Area=(480×320) m2=153600 m2.

The correct option is B
153600

Distance covered in 8 minutes $= \frac{12000 \times 8}{60} m = 1600 m$

Let length = 3x metres and breadth = 2x metres.

Then, 2(3x + 2x) = 1600 or x = 160.

$∴$ Length = 480 m and Breadth = 320 m.

$∴ A r e a = (480 \times 320) m^{2} = 153600 m^{2}$ .