1. Jeff has a rectangular table top that is x feet wide. The length of the table top is 3 times its width.
(a) Write two different expressions that represent the perimeter of the table top.
(b) Explain how each expression represents the perimeter of the table top
The perimeter of a rectangle is:
P = 2(l + w)
So we have:
P = 2(l + x)
This is one of our expressions.
It says the length is 3 times the width.
So we have 3 * x or 3x.
We can write:
l = 3x
Now plug this into the formula:
P = 2(l + x)
Plug in '3x' for 'l'