Question

Tracy needs to find the length and width of the equipment storage room where she works. The room is 2 m longer than it is wide. It’s perimeter is 24 m. What is the width in meters?

Answer 1

Let the width be w. Therefore we can right the length as w+2=l. We know the formula for perimeter is 2w + 2l = P. We can fill this formula in to help solve this problem with the pieces we have.

2w+2(w+2)=24

2w+2w+4=24

4w=20

w=5

So, we now know the width of the room. Next, lets plug that into the perimeter equation again and solve for the length now.

2(5) + 2l = 24

10 + 2l = 24

2l = 14

l=7

So the width is 5m and the length is 7m.