SOLUTION: 1. A tennis court is to be covered with fiber glass. its area is 80m^2 and its perimeter is 42m. Find the dimensions of the fiber glass needed to cover it.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 1. A tennis court is to be covered with fiber glass. its area is 80m^2 and its perimeter is 42m. Find the dimensions of the fiber glass needed to cover it.      Log On


   

Question 770959: 1. A tennis court is to be covered with fiber glass. its area is 80m^2 and its perimeter is 42m. Find the dimensions of the fiber glass needed to cover it.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x for length and y for width, so area is xy and perimeter is 2x+2y.

xy=80 and 2x%2B2y=42
x%2By=21
y=21-x
Substitute into area equation
x%2821-x%29=80
21x-x%5E2=80
-x%5E2%2B21x-80=0
x%5E2-21x%2B80=0
%28x-16%29%28x-5%29=0
One dimension is 5 meters and the other dimension is 16 meters.