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

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asked 6 days ago in Class VII Maths by navnit40 (-3,089 points)

The length and breadth of rectangular piece of land are in the ratio of 5 : 3. If the total cost of fencing it at the rate of ₹48 per metre is ₹19,200, find its length and breadth.

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answered 6 days ago by muskan15 (-2,499 points)

Ratio in length and breadth of a rectangular piece of land = 5 : 3
Cost of fencing = ₹ 19,200
and rate = ₹ 48 per m
∴ Perimeter = 19200/48 = 400 m 48
Let length = 5x.
Then breadth = 3x
∴ Perimeter = 2(l + b)
400 = 2(5x + 3x)
400 = 2 x 8x = 16x
∴16x = 400
⇒ x = 400/16 = 25
∴ Length of the land = 5x = 5 x 25 = 125 m and breadth = 3x = 3 x 25 = 75 m

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