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aliya0001 [1]
3 years ago
5

The width of a rectangle is 10 feet shorter than its length. The area of the rectangle is 60 square feet. Find the length and wi

dth. Round your answer to the nearest tenth of a foot.
Mathematics
1 answer:
VladimirAG [237]3 years ago
4 0

Answer:

  length: 14.2 ft; width 4.2 ft.

Step-by-step explanation:

Let x represent the length of the rectangle in feet. Then x-10 represents the width, and the area is ...

  area = length×width

  60 = x(x -10) . . . . . substitute the expressions for area, length, width

  60 = x² -10x

  85 = x² -10x +25 . . . . add (10/2)² to complete the square

  85 = (x -5)² . . . . . . . . . rewrite as a square

  √85 = x -5 . . . . . . . . . take the square root. Only the positive root is useful for this problem

  x = 5 + √85 ≈ 14.2

  x-10 = 4.2

The length and width of the rectangle are 14.2 ft and 4.2 ft.

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