The length of a rectangle is six -fifth of its breadth. what will be it's area if it's perimeter is 132 m
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Step-by-step explanation:
use the formula for the perimeter of a rectangle, P = 2L + 2W to solve the problem.
Given: P = 132 m, W = x, L = 6/5(x)
Substitute into the formula gives:
132 = 2(6/5)(x) + 2x
132 = 12/5(x) + 2x
Multiply both sides by 5 to clear the fraction gives:
660 = 12x + 10x
660 = 22x
Divide both sides by 22 to find x:
x = 30, or the width is equal to 30 m.
To find the length, multiply 30 by 6/5, which gives 36.
The length of the rectangle is 36 m and the width is 30 meters.
Check: 132 = 2(36) + 2(30)
132 = 72 + 60
132 = 132, values check!
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