the cost of fencing a rectangular park at RS 28.50 per metre is RS 3648. Find its length and breadth if they are in a ratio of 5:3
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I80The length of fence used, in meters is
(Rs3648)/(Rs28.5) = 7296/57 = 128.
The perimeter of the rectangular park, in meters is
2(length + width) = 128, so in meters
length + width = 128/2 = 64.
length/width = 5/3 = (5x)/(3x) for any non-zero x.
Let us say that length=5x and with=3x, and find x as a length in meters
5x + 3x = 64 meters
(5+3)x = 64 meters
8x = 64 meters
x = (64 meters)/8 = 8 meters.
So, length = 5x = 5(8 meters) = 40 meters, and
width = 3x = 3(8 meters) = 24 meters.
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Step-by-step explanation:
24 meter is answer
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