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Kitty [74]
3 years ago
13

The length of a rectangle is 4 less than three times its width. The perimeter is 72 feet. What are the dimensions of the rectang

le?
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0
Say width equals x.
Length = 3x - 4
Solve for x: 72 = 2(3x - 4) + 2x
72=6x-8+2x
80=8x
X=10
So width = 10
Length= 3(10) - 4 = 26
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So we know that the perimeter is 1260 feet and that the length is 100 more than the width, but we don't know that the width is.
So we're going to start with finding the width.
w = (x + x + 100) = 1260
from there we need to combine like terms
x + x = 2x
now we have
2x + 100  = 1260
From there, we will need to remove 100 from both sides, leaving us with
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Finding the length will be the easy part, as we know that it is just 100 more than the width
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If you want an easier way of finding the length, just subtract the width from the perimeter.
1260 - 580 = 680
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