savannahpayne2024 savannahpayne2024
  • 12-01-2020
  • Mathematics
contestada

suppose the length of a rectangle is one more than its width, and has an area of 60 ft squared. find the dimensions of the rectangle to the nearest hundreth

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sqdancefan
sqdancefan sqdancefan
  • 12-01-2020

Answer:

  • width: 7.26 ft
  • length: 8.26 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then w+1 is the length, and the area is ...

  w(w+1) = 60

  w^2 +w + 0.25 = 60.25 . . . . eliminate parentheses, complete the square

  (w +0.5)² = 60.25

  w +0.5 = √60.25

  w = -0.5 +√60.25 ≈ 7.26 . . . . . feet

  w+1 = 8.26 . . . . feet = length

The dimensions of the rectangle are 7.26 feet by 8.26 feet.

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