Two rectangles have the same width. the length of one is 1 foot longer than the width.
the length of the other is 2 feet longer than the width. the larger rectangle has 4 more
square feet than the smaller. what is the width of the rectangles?

The width of the rectangles is 4.

Step-by-step explanation:

Given that two rectangles have same width. So, let be the two rectangles and and width of rectangle is ‘x’. So, according to question, we have  

Length of one rectangle , = x + 1

Length of other rectangle, = x + 2

But we also know that,

So,  then the area for one rectangle,

Similarly,

So, according to question,

Now, by solving the above equation, we get

So, from the above equation, we found that width of the rectangle is 4.