SOLUTION: The area of a rectangles is 63 square feet.The length is 2 feet longer than the width.What is the width of the rectangle?

Question 317158: The area of a rectangles is 63 square feet.The length is 2 feet longer than the width.What is the width of the rectangle?
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Let A = area = 63
length = x + 2
width = x
63 = x(x + 2)
63 = x^2 + 2x
0 = x^2 + 2x - 63
You now have a quadratic equation.
0 = (x - 7)(x + 9)
x - 7 = 0
x = 7
x + 9 = 0
x = -9....We reject this negative answer because distance must be positive.
The width = x or 7 feet.
The length = x + 2 or 7 + 2 or 9.
Width is 7 feet.
Length is 9 feet.

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