Final answer:
To find the dimensions of the rectangle, we set up and solve an equation based on the given perimeter and relationship between length and width. Solving the equation, we find that the width of the rectangle is 5 inches and the length is 7 inches.
Step-by-step explanation:
The solution can be found by using the equation of the perimeter of a rectangle, which is 2(length + width). We're given that the perimeter is 24 inches and the length is 2 inches longer than the width. So we can denote the width as x and the length as x + 2.
We can then set up the equation 2(x + x + 2) = 24. Solve this equation to find x, which would give us the width. Then add 2 to x to find the length.
Solving the equation, we find x = 5, hence the width is 5 inches and the length is 5 + 2 = 7 inches.
Learn more about Perimeter of a Rectangle