Arectangular pool has dimensions of 40 ft. and 60 ft. the pool has a patio area around it that is the same width on all sides. if the patio area equals the area of the pool, how wide is the distance from the pool edge to the patio edge?

Let

x> the width of the patio

we understand that

region of the pool=40*60> 2400 ft²

vicinity of the patio=[(40+2x)*(60+2x)]-2400

place of the patio=2400 ft²

so

[(40+2x)*(60+2x)]-2400=2400

2400+80x+120x+4x²-4800=0

4x²+200x-2400=0> divide by 4 both sides> x²+50x-600=0

therefore

the answer is

x²+50x-600=0

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is