rubyfranco2519 rubyfranco2519
  • 12-03-2021
  • Mathematics
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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 rectangle.

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aaliyahlopezb911
aaliyahlopezb911 aaliyahlopezb911
  • 12-03-2021

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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