Let "w" represent the width of the rectangular table and "l" represent the length.
You know that the length is 5 inches more than the width, you can express this as l=w+5
The perimeter of a rectangle can be calculated as twice the length plus twice the width

We know that P=78in and l=w+5, then:

From this expression, you can determine the width of the table:
- First, distribute the multiplication on the parentheses term:

-Second, subtract 10 to both sides of the expression

-Third, divide both sides by 4

The width of the table is 17inches.
Next, calculate the length

The length of the table is 22 inches.