The length of a rectangle is 3 meters less than twice the width. If the pool's perimeter is 96 meters, what is the width?

Question

a) Write an equation with x

b) solve equation for width

Answer 1

Let's begin by calling the width "x" since that's what the question is asking for. The length is said to be 3 meters less than twice the width which means that the length will equal 2x -3.

Width: x

length: 2x-3

Since the perimeter is said to be 96 meters and the perimeter is the sum of the measurements of all the sides of the rectangle (length + length + width + width) the equation would be

(2x-3) + (2x-3) + x + x = 96

Once we simplify it'll look like:

2x-3+2x-3+2x = 96

6x-6 = 96

And now we solve for x

6x = 96 +6 = 102

6x= 102

x = 17

Therefore, the width is equal to 17 meters