# The ratio between the length and breadth of a stadium is 5 : 3 and its perimeter is 256 metres. What will be the cost of leveling the ground of the stadium at the rate of Rs.2.50 per sq. metre.

Correct Answer: Description for Correct answer:

Let the length be 5x and the breadth be 3x.

Perimeter = \( \Large 2 \left(5x+3x\right) \) = 16x

\( \Large 16x = 256 \)

x = 16

Length of the stadium = 80 m.

Breadth of the stadium= 48 m.

Area of the ground = \( \Large 80 \times 48 \) = 3840 sq. m.

The cost of leveling the ground = Rs.2.50 / sq m .

Total cost of leveling the ground= \( \Large 3840 \times 2.50 \) = Rs.9600

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