Final answer:
To find the difference between the longest and shortest side, we need to determine the lengths of both sides. By setting up an equation based on the perimeter and solving for x, we find that the shortest side has a length of 13 units. Subtracting the shortest side from the perimeter gives us the length of the longest side, which is 13 units bigger.
Step-by-step explanation:
The question asks how much bigger the longest side is than the shortest side. To find the difference, we need to know the lengths of both sides. Since the problem only gives the perimeter, we need to find the lengths of the sides first. Let's assume the shortest side has a length of x units. We know that the perimeter is 26, and the perimeter of a rectangle is 2(length + width). So, we can set up the equation 2(x + rac{26}{2} - x) = 26 and solve for x.
- 2(x + rac{26}{2} - x) = 26
- 2(rac{26}{2}) = 26
- 26 = 26
Therefore, the shortest side has a length of 13 units. Now, we can find the longest side by subtracting the shortest side from the perimeter: 26 - 13 = 13 units. So, the longest side is 13 units bigger than the shortest side.