The width of a rectangle is 5 meters less than its length and the perimeter is 22 meters find the length and the width of the rectangle

Question

Length and width 

Answer 1

Hello Jamal,

As I am sure you know, the formula for determining the perimeter of a rectangle is as follows: 


2(L) + 2(W) = P  

Where L equals the length, W equals the width, and P equals the perimeter. 

With that in mind: 

Let your length be x 
Let your width be x - 5 

Therefore: 

2(x) + 2(x - 5) = 22 

2x + 2x -10 = 22 

4x - 10 = 22 

4x = 12

x = 8 

Substitute: 

x - 5 = width 

8 - 5 = 3 

Now proof your work: 

Does 2(3) + 2(8) = the perimeter in the problem? 

6 + 16 = 22 Yep, it sure does. 

Hope I have helped you and wish you a great day tomorrow.