The length of a rectangular pool is 4 meters less than twice the width. If the pool's perimeter is 186, find the width.

Answer 1

The formula for the perimeter of a rectangle is:

P = 2w + 2l

where w = width and l = length. If we use the information that the length is 4 meters less than twice the width, we get a new equation that looks like:

P = 2w + 2(2w-4)

We can then substitute in P and simplify the right hand side

186 = 2w + 4w - 8

186 = 6w - 8

194 = 6w

97/3 = w