Question

perimeter of pool is 16o feet, length of pool is x feet long, express the area of the pool as a function of the length

Answer 1

Assuming that the pool is in the shape of a retangle, let x be the length of the pool.
Because opposite sides of a rectangle are congruent and because the pool has perimeter 160,
the lengths of the sides of the pool are x, x, (80 - x), and (80 - x) .
The area of a rectangle is length times width or x(80-x)
Writing the area of the pool as a function of x (the width) gives the following:
A(x) = x ( 80 - x) --> Answer