If the area of a rectangle is 39 square feet and it has sides of #x-2# and #x+8#, what is the value of #x#?
The value of
The area of a rectangle can be determined by the following formula.
Now, we can plug the values we are given into the equation.
The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.
Now, we can plug in the given value for the area.
Next, we simplify by moving all terms to one side and factor the equation.
Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.
If the equation ultimately equals zero, either