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)
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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