SOLUTION: The width of a swimming pool is 12 feet less than the pool's length. The area of the pool is 540 square feet. What are the dimensions of the pool?

Question 1044743: The width of a swimming pool is 12 feet less than the pool's length. The area of the pool is 540 square feet. What are the dimensions of the pool?

Found 3 solutions by Boreal, ikleyn, MaxWong:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
width=x
length=x+12, the width is 12 feet less, the length is 12 feet more. I could make length x and width x-12, but I'd rather deal with + than -. You get the same answer.
x(x+12)=540. LxW=area
x^2+12x-540=0
(x+30)(x-18)=0
x=-30, 18. Only the second answer makes sense
width is 18 feet and length is 30 feet.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
30 ft long and 18 ft wide.

Answer by MaxWong(38)   (Show Source): You can put this solution on YOUR website!
x(x-12)=540
x^2 - 12x - 540 = 0
(x-30)(x+18)=0
x = 30 or x = -18(rejected)
Length = 30 and Width = 30 - 12 = 18
RELATED QUESTIONS
the area of a swimming pool is 200 square feet. the lengthof the pool is 10 feet longer... (answered by nerdybill)
The area of a swimming pool is 3oo square feet. If the length is three times the width of (answered by Fombitz)
The area of a rectangular pool is 300 square feet. The length of the pool is 5 feet more... (answered by ikleyn,Alan3354)
1.) The area of a rectangular pool is 300 square feet. The length of the pool is 5 feet... (answered by josgarithmetic)
The area of a rectangular pool is 300 square feet. The length of the pool is 5 feet more (answered by josgarithmetic)
the perimeter of a rectangular swimming pool is 326 feet. If the width of the pool is 95... (answered by tommyt3rd)
The length of a rectangular swimming pool is 2 feet more than twice its width. The... (answered by nyc_function)
The length 0f a rectangular swimming pool is 2 feet more than twice its width The... (answered by rfer)
the perimeter of a ractangular swimming pool is 92 feet. the width of the pool is 21... (answered by JBarnum)