The length of a rectangle is 4 centimeters less than twice its width. The perimeter of the rectangle is 34 cm. What are the dimensions of the rectangle?

length = 7 cm; width = 10 cm

length = 10 cm; width = 7 cm

length = 9 cm; width = 8 cm

length = 14 cm; width = 9 cm

Answer is length = 10 cm; width = 7 cm

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.