Solving Systems (Problem Solving)

Question

(SOLVING SYSTEMS) the length of a rectangle is 5 times its width. The perimeter is 84. What system of equations can be solved to find its length and the width of the rectangle? And why?

 

I am really confused and I'd really appreciate the help! Thank you!

Answer 1

So, Jannila, we need at least two equations in order to have a system. It looks like we have two.

 

First, we are told that the length is five times its width. Easy peasy. l = 5w.

 

How do we find perimeter? 2l + 2w. We're given the perimeter, so 2l + 2w = 84

 

So, our system is...

 

l = 5w

2l + 2w = 84

 

Hope this helps!