kaiyiyuan5682 kaiyiyuan5682
  • 20-01-2018
  • Mathematics
contestada

The length of a rectangle is 4 ft longer than its width. if the perimeter of the rectangle is 44 ft , find its area.

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sqdancefan
sqdancefan sqdancefan
  • 11-03-2020

Answer:

  117 ft^2

Step-by-step explanation:

The sum of the length and width is half the perimeter, so is 22 feet. If we let w represent the width of the rectangle, then w+4 is its length, and their total is ...

  w + (w+4) = 22

  2w = 18 . . . . subtract 4

  w = 9 . . . . . . divide by 2

The area is ...

  area = (9 ft)(9 ft + 4 ft) = 117 ft^2

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