Let L=length and W=Width.
The length of a rectangle is 4 centimeters less than twice its width.
This would mean that:
L= 2w-4
To find the perimeter of a rectangle you add all sides together. This would be shown as 2L+2W
Therefore, 2L+2W= 34
Since this equation has two unknowns, you cannot solve it; but we know that L=2W-4
So if we substitute that into the equation of the perimeter, you would get:
2(2W-4)+2W=34.
This only has one unknown so we can solve it. Here are the steps:
2(2W-4)+2W=34
4W-8+2W=34
6W-8=34
6W=42
W=7
Now that we know what W is we can work out L.
L=2W-4
L=14-4
L=10
So W=7 and L=10!
This shows that the length is 10cm and the width is 7cm.
I hope this helped!
