SOLUTION: The area of a rectangle is 12 square inches. The length is 5 more than twice it’s width. Find the length and the width?

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Question 877998: The area of a rectangle is 12 square inches. The length is 5 more than twice it’s width. Find the length and the width?
Answer by ben720(159) About Me  (Show Source):
You can put this solution on YOUR website!
Let width = w
Let length = 2w+5
w%282w%2B5%29=12
2w%5E2%2B5w=12
2w%5E2%2B5w-12=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
w+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A2%2A-12+%29%29%2F%282%2A2%29+
w+=+%28-5+%2B-+sqrt%28+25-4%2A2%2A-12+%29%29%2F%282%2A2%29+
w=%28-5%2B-sqrt%28121%29%29%2F4
Because both sides must be positive, ignore the negative answer.
w=%28-5%2B11%29%2F4
w=6%2F4
w=1.5
The width is 1.5 and the length is 8.