SOLUTION: The area of a rectangle is 40. If the length is 6 more than the width, what are the dimensions of the rectangle.

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Question 845646: The area of a rectangle is 40. If the length is 6 more than the width, what are the dimensions of the rectangle.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x(x+6) = 40

x^2 + 6x = 40

x^2 + 6x - 40 = 0

(x + 10)(x - 4) = 0

x + 10 = 0 or x - 4 = 0

x = -10 or x = 4

Toss the negative result.

The only solution is x = 4

x = 4

x + 6 = 4+6 = 10

The dimensions are

Length: 10
Width: 4