SOLUTION: the perimeter of a rectangle is 36 cm. the area is 80 cm squared. find the length and width. i know the answers i just need how to get them. this is part of my area math packe

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: the perimeter of a rectangle is 36 cm. the area is 80 cm squared. find the length and width. i know the answers i just need how to get them. this is part of my area math packe      Log On


   

Question 451870: the perimeter of a rectangle is 36 cm. the area is 80 cm squared. find the length and width.

i know the answers i just need how to get them. this is part of my area math packet. please help!
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
2L+2W=36
2L=36-2W
L=18-W
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W(18-W)=80
18W-W2=80
W2-18W+80=0
(W-10)(W-8)=0
W=8 or 10
Choosing the width to be 8 cm., we get the length to be 10 cm..