Problema Solution

The length of a rectangle parking lot is 7 meters less than twice its width, and the perimeter is 364, find the length of the parking lot.

Answer provided by our tutors

Let L = the length and W = the width.

The perimeter of a rectactangle is given by:


From the problem, you have L = 2W+8 (The length is 8 in. more than twice its width). And P = 70 in. Substitute these for L and P in the formula.

Simplify.


Subtract 16 from both sides.

Divide both sides by 6.

and





The length is 26 in. and the width is 9 in.

Check:

Substitute L = 26 and W = 9



It checks!