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4vir4ik [10]
3 years ago
5

The length of a rectangle is 4 less than twice the width. If the perimeter of the rectangle is 130, find the length of the recta

ngle.
Mathematics
1 answer:
Alchen [17]3 years ago
4 0

Answer:

Let L be the length of the rectangle and w be the width of the rectangle.

"The lenght of a rectangle is one less than twice the width" means L=2W-1

Using perimeter formula of a rectangle which is P=2(L+W) you have:

P=2(L+W)

130=2(2W-1+W)

Solve equation above to find W

130=2(3W-1)

130=6W-2

130+2=6W

132=6W

W=22

From here you find L=2W-1=2x22-1=43

Only thing left is to find area A=LxW

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