SOLUTION: The area of a rectangle is 35. If the length is 2 more than the width, find the dimensions of the rectangle.
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Question 403881: The area of a rectangle is 35. If the length is 2 more than the width, find the dimensions of the rectangle.
Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
L=w+2
Area = Lw
35 = (w+2)w
35 = w^2 +2w
0 = w^2 + 2w -35
Factor (or use the quadratic formula):
0=(w+7)(w-5)
w=-7, w=5
The width can't be a negative number, so we can't choose w=-7. The width must be 5.
We know that the length is 2 more than the width, so the length must be 7.
Dimensions:
L=7
w=5
Area = 7x5=35
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