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Question 607220:
Answer by sophxmai(62) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangle is 4 inches longer than twice its width. The area of the rectangle is 96 square inches. What is the length and width of the rectangle?

Let x=length and y=width
y-4=2x
xy=96

Solve the first equation for y and substitute it into the 2nd equation
y-4=2x
y=2x%2B4

xy=96
x%282x%2B4%29=96
2x%5E2%2B4x=96
2x%5E2%2B4x-96=0
2%28x%5E2%2B2x-48%29
2%28x%2B8%29%28x-6%29=0
x=-8%2C6
Reject x=-8 because the length cannot be a negative number
So x=6
Substitute x to find y
y=2x%2B4
y=2%286%29%2B4
y=12%2B4
y=16