SOLUTION: An entry in the Apple Festival Poster Contest must be rectangular and have an area of 1200 square inches. Also, its length must be 20 inches longer than its width. Find the dimen

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Question 958864: An entry in the Apple Festival Poster Contest must be rectangular and have an area of 1200 square inches. Also, its length must be 20 inches longer than its width. Find the dimensions each entry must have.
Answer by lwsshak3(11628) About Me  (Show Source):
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An entry in the Apple Festival Poster Contest must be rectangular and have an area of 1200 square inches. Also, its length must be 20 inches longer than its width. Find the dimensions each entry must have.
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let x=width of rectangle
x+20=length of rectangle
width*length=area
x(x+20)=1200
x^2+20x=1200
x^2+20x-1200=0
solve for x by quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1, b=
x=-46.06(reject)
or
x=26.06
x+20=46.06
dimensions each entry must have:
width=26.06 inches
length=46.06 inches