The sides of a rectangle are in the ratio 3:2. If the area is 486 sq m, find the cost of fencing it at ₹40 per metre
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answer is rs. 24,400 according to the question
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Here the ratio of sides of rectangle is given to be 3:2
Let the length and breadth be 3x and 2x respectively
Area = length × breadth
486 = 3x × 2x
486 = 6x²
x² = 486 / 6
x = 91
Perimeter = 2 ( length + breadth )
= 2 ( 3x + 2x )
= 2 ( 5x )
= 10x
= 10 × 91
= 910 m
cost of fencing is Rs. 40 per meter
so, cost of fencing for 910 m = 910 × 40
= Rs. 36400
Hence, the cost of fencing will be Rs. 36400
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