An inground rectangular pool has a concrete pathway surrounding the pool. if the pool is 16 feet by 32 feet and the entire area of the pool including the walkway is 924 ft2, find the width of the walkway.

The width of walkway=3.72 feet

Step-by-step explanation:

We are given that a rectangular pool has a concrete pathway surrounding the pool.

Let x be the width of walkway.

Length of outer rectangle =

Breadth of outer rectangle =

Length of  pool=32 feet

Breadth of rectangle =16 feet

Area of pool= =512 square feet .

The antire area of the pool including the walkway =924 square feet

Area of entire pool including walkway=

Divide the equation by 4 then we get

Quadratic formula for quadratic equation

We have a=1, b=24,c=-103

By using quadratic formula we solve quadratic equation

and

and

x=3.72 and x=-27.7

The value of x=-27.7 is not possible because the width is always a natural number.

Hence, the width of walkway =x=3.72 feet.

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .