We want to put a fence around a rectangular plot. The fence costs ₹ 30per meter. The length and width of the plot are in the ratio 4:3. The total cost of the fencing comes out to be ₹ 1680. Find the length of the plot.
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Let say Length & width of plot are
4 L & 3L m
Perimeter of Plot = 2 ( Length + width)
= 2 * ( 4L + 3L)
= 14L m
fence costs ₹ 30 per meter.
=> Total cost = 14L * 30 = 420L
The total cost of the fencing comes out to be ₹ 1680
420L = 1680
=> L = 4
Length = 4L = 4 * 4 = 16 m
Width = 3L = 3 * 4 = 12 m
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