The perimeter of a rectangle is 132 feet and its area is 1080 square feet. find the dimensions

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22-02-2018
Mathematics

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The perimeter of a rectangle is 132 feet and its area is 1080 square feet. find the dimensions

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tn0982p46cab tn0982p46cab · Answer 1 · 2018-02-25T04:58:15+01:00

tn0982p46cab tn0982p46cab

25-02-2018

2x + 2y=132

xy=1080

Let x=1080/y

2160/y + 2y=132
2y^2 - 132y +2160=0
2(y^2-66y+1080)=0
2(y-30)(y-33)=0
y=30 or y=33
(36,30) or (30,36)

So... x=30,36 and y=36,30. Either way, the answer is 30 by 36 or 36 by 30.

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