SOLUTION: The perimeter of a rectangular swimming pool is 86m and its area is 450m² . how would you represent the length and the width of the pool …

Algebra ->  Rectangles -> SOLUTION: The perimeter of a rectangular swimming pool is 86m and its area is 450m² . how would you represent the length and the width of the pool …       Log On


   

Question 980327: The perimeter of a rectangular swimming pool is 86m and its area is 450m² . how would you represent the length and the width of the pool …

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
L=length; W=width; A=Area=450m^2; P=Perimeter=86m
.
P=2%28L%2BW%29
86m=2%28L%2BW%29
43m=L%2BW
43m-W=L
.
A=LW
450m%5E2=LW
%28450m%5E2%29%2FW=L
.
450%2FW=43-W
450=43W-W%5E2
W%5E2-43W%2B450=0
%28W-25%29%28W-18%29=0
W-25=0 OR W-18=0
W=25 OR W=18
.
ANSWER: The width is 25 meters or 18 meters, and the length is the other
(For width=25 meters, length=18 meters and for width=18 meters, length=25 meters)