Question 340288
let width of walk be x feet
..
Area of pool = 40*20 = 800 sq.ft.
Length of pool + walk = 40+2x . ( x on both sides so 2x)
width of pool + walk = 20+2x
Area of pool + walk = (40+2x)(20+2x)
..
Area of pool + walk less area of pool = area of walk
(40+2x)(20+2x)-800=700
800+80x+40x+4x^2-800 =700
4x^2+120x-700=0
divide by 4
x^2+30x-175 =0
X^2+35X-5X-175=0
X(X+35)-5(X+35)=0
(X+35)(X-5)=0
X=5 or -35
iGNORE NEGATIVE VALUE.
SO X = 5 FEET THE WIDTH