the lenght of a rectangle is 3 more than twice its width. the perimeter is 48 feet.

Let length be L...

Let width be W....

 

There are 2 widths and 2 lengths in a rectangle, your total perimeter is 48 feet

 

I came up with:

 

2W + 2L = 48 feet

if x is the length of the rectangle and y is the width of the rectangle then:

 

x = 2y + 3.

 

Then you are able to say:

 

2x + 2y = 48.

 

Substituting x and simplifying, we get:

 

6y + 6 = 48. Or

 

y = 7.

 

Then we can figure out x:

 

x = 2*7 + 3 = 17.

 

So, the final answer is:

Length = 17.

Width = 7.