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a tennis court for four players has an area of 230 square meters. The perimeter of the court is 66 meters, Find the dimensions of the court ..??

pls answer this with complete explanation.. i really need it today.. please 

Sagot :

Giaescalanteidn
let us represent the area as A and perimeter as P.
A=LW 
A=230m²
P=2L+2W
P=66m
Let us make an equation to find L using the perimeter. 
P=2L+2W
66=2L+2W.. transpose 66 to the other side
-2L=2W-66.. divide both sides by -2
L=-W+33.. then we substitute this to the A=LW
A=-W+33(W)
230=-W²+33W
W²-33W+230=0..let us get the roots.
(W-23)(W-10)
W=23, W=10.. the dimensions are L=23, W=10
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