SOLUTION: The length of a pool is 8 ft more than the width. It has a 4 ft sidewalk around it. The area of the sidewalk is 320 ft. Find the dimensions of the pool

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The length of a pool is 8 ft more than the width. It has a 4 ft sidewalk around it. The area of the sidewalk is 320 ft. Find the dimensions of the pool      Log On


   



Question 849292: The length of a pool is 8 ft more than the width. It has a 4 ft sidewalk around it. The area of the sidewalk is 320 ft. Find the dimensions of the pool
Answer by hamsanash1981@gmail.com(151) About Me  (Show Source):
You can put this solution on YOUR website!
Let width of the pool be x and length of the pool is x+8.
area of side walk = area of total area - area of the pool
320 = (x+4)(x+8+4) - (x)(x+8)
320 = (x+4)(x+12) - x^2 - 8x
320 = X^2 +4x+12x +48 -x^2-8x
320 = 8x + 48
272 =8x
x= 34
Width of the pool = 34 length = 42
Dimensions of the pool = 42*34.