uwumoonshine
uwumoonshine uwumoonshine
  • 15-01-2021
  • Mathematics
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The width of a rectangle is 30 less than 4 times the length. The perimeter is 60. What is the length, width, and area

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sqdancefan
sqdancefan sqdancefan
  • 16-01-2021

9514 1404 393

Answer:

  • length: 12 units
  • width: 18 units
  • area: 216 square units

Step-by-step explanation:

Let x represent the length of the rectangle. Then the width is 4x-30, and the perimeter is ...

  P = 2(L +W)

  60 = 2(x +(4x -30)

  30 = 5x -30

  60 = 5x

  12 = x . . . . length

  4x -30 = 18 . . . . width

Area is the product of length and width.

  A = LW

  A = (12)(18) = 216

The length is 12, the width is 18, and the area is 216.

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