set up equation

Question

A parking lot is in the shape of a rectangle. Its perimeter is 44 feet. The length is 8 feet less than twice the width. Set up the equation and solve for the width of the lot.

Answer 1

l...length

w...width

 

The perimeter is 44 ft -> 2l+2w=44 (eq1)

 

The length is 8 ft less than twice the width -> l=2w-8 (eq2)

 

Now substitute for l in eq1 -> 2(2w-8)+2w=44

 

Solve for w to get the width, then use eq2 to get the length.

 

Hope this helps!