Math CentralQuandaries & Queries


Question from jenna, a student:

The length of a rectangular room is 2m more than the width. Find the dimensions if the perimeter of the room is 34m

Hi Jenna,

I drew a diagram and labeled the length and the width. I then let $w$ be the width of the room in meters.


Write a mathematical expression for the length of the room using the variable $w.$ Now that you have an expression for the lengths of each of the four sides of the room write a mathematical expression for the perimeter of the room. You know that the perimeter is 34 meters so set your expression for the perimeter equal to 34 and solve for $w.$


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