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The perimeter of a rectangle is 66 inches. If the length is 3 less than five times the width, find the length and width.​

User Micnoy
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1 Answer

5 votes

Answer:

  • length: 27 inches
  • width: 6 inches

Explanation:

Let w represent the width of the rectangle. The perimeter is twice the sum of length and width so is ...

P = 2(L + w) . . . . . . equation for perimeter

66 = 2((5w-3) +w) . . . substitute the given values

33 = 6w -3 . . . . . . . divide by 2 and collect terms

36 = 6w . . . . . . . . . add 3

6 = w . . . . . . . . . . . .divide by 6

L = 33-6 = 27

The length is 27 inches; the width is 6 inches.

User Cristian Hantig
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