# 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?

##### 1 Answer

Jul 9, 2017

#### Answer:

see explanation

#### Explanation:

The area of a quadrilateral (which includes rectangles) is *length* times *width*. The area here is stated to be 310 square feet (

We're told that the *length* is **5 feet longer** than the *width*, and that *width*. Thus...

Now you have an algebraic variable question to solve.

#(5+x)\cdot(x)=310# - 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#