Start by substituting the given value into the equation that you wrote in Part A. Then, solve the equation by factoring.
C
c
Can dimensions be negative?
A
a
Variable: w
Equation: 525= w * (w+20)
B
b
w=- 35 and w=15
C
c
See solution.
Practice makes perfect
a
Let w be the variable that represents the width of the pool. Since the length of a rectangular swimming pool is 20 feet longer than its width, w+20 represents the length as shown below.
Given that the area of the pool is 525 square feet, we can write the following using the formula for the area of a rectangle.
A= w * l
⇓
525= w * (w+20)
b
We will solve the equation by factoring and using the Zero Product Property.
