Question

The area of a rectangular swimming pool is given by 5x^2-31x-28ft^2. One side length of the pool is given by 5x + 4 feet. What is an algebraic expression for the other side length of the pool?

Answer 1

Area of a rectangle = length * width

therefore:
5x^2-31x-28 = (5x + 4)* the other side
or
The other side
= (5x^2-31x-28)/(5x+4)
= (5x+4)(x-7) /(5x+4)
= x-7