Question

The perimeter of the bottom of a rectangular swimming pool is 54 meters. The area is 170 square meters. What are the dimensions of the pool?

Answer 1

54m=P 170=A

x+y=54, y=54-x
x*y=170, y=170/x
54-x=170/x
54x-x^2-170=0
x^2-54x+170=0
x= (54(+/-)root2916-680)/2
x=27(+/-)root559
x+y=3.35+50.65=54
x*y=3.35*50.65=170m
Dimensions are 3.35m and 50.65m