The length and breadth of a rectangular piece of land are in the ratio of 5:3.

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Question

The length and breadth of a rectangular piece of land are in the ratio of 5:3. The owner spent Rs 3000 for surroundings it from are the sides at Rs 7.50 per meter. The difference between is length and breadth is:

Options:

A . 50m

B . 100m

C . 150m

D . 200m

Answer: Option A

Let length = 5x meters and breadth = 3x meters
Perimeter = 2 x (5x + 3x) m = 16x metres.
Perimeter = Total cost/Rate = (3000/7.50) m = 400 m.
16x = 400 or x = 25
(Length) “ (breadth) = (5 x 25 “ 3 x 25)m
= (2 x 25) = 50 m

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