The length of a rectangular deck is 5 feet longer than its width, x. The area of the deck is 310 square feet. What equation can be used to determine the width of the deck?
The area of a quadrilateral (which includes rectangles) is
We're told that the length is 5 feet longer than the width, and that
Now you have an algebraic variable question to solve.
- Apply Distributive Property:
#x(5)+x(x)=310# #5x+x^2=310#, moving everything to one side gets you a quadratic: #x^2+5x-310=0#