SOLUTION: An architect wants to create a rectangle sun porch in a house. She wants it to have a total area of 112 square feet, and it should be 14 feet longer than it is wide. What dimension

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Question 1117614: An architect wants to create a rectangle sun porch in a house. She wants it to have a total area of 112 square feet, and it should be 14 feet longer than it is wide. What dimension should she use for the sun porch? Round to the nearest hundredth of a foot.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%28x%2B14%29=112

You can use algebra to solve the quadratic equation.

You can also look at which factors of 112, if any differ by 14.


112=4%2A28=8%2A14
112=2%2A56
112=7%2A16

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x%5E2%2B14x-112=0
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x=%28-14%2Bsqrt%28196%2B4%2A112%29%29%2F2
x=%28-14%2Bsqrt%28644%29%29%2F2
x=%28-14%2B2%2Asqrt%28161%29%29%2F2
x=-7%2Bsqrt%28161%29------width

length, 7%2Bsqrt%28161%29