SOLUTION: The length of a rectangle is 5cm more than its width. If the area of the rectangle is 70cm^2, find the dimensions.

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Question 124437: The length of a rectangle is 5cm more than its width. If the area of the rectangle is 70cm^2, find the dimensions.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
L=W+5
(W+5)W=70
W^2+5W-70=0
USING THE QUADRATIC EQUATION x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
W=(-5+-SQRT[5^2-4*1*-70])/2*1
W=(-5+-SQRT[25+280])/2
W=(-5+-SQRT305)/2
W=(-5+-17.46)/2
W=(-5+17.46)/2
W=12.46/2
W=6.23 ANSWER FOR THE WIDTH.
L=6.23+5=11.23 FOR THE LENGTH.
PROOF
6.23*11.23=70
70~70