Final answer:
To find the perimeter of a rectangle, add up all the sides. In this case, the width is 5.25x - 2.5 feet and the length is 2.5x + 8 feet. The perimeter is 15.5x + 5 feet.
Step-by-step explanation:
To find the perimeter of a rectangle, we add up all the sides. In this case, the rectangle has two sides of equal length, which are the width. The width is given as 5.25x - 2.5 feet. The other two sides are the length, which is given as 2.5x + 8 feet.
The perimeter is calculated by adding up all the sides:
P = width + length + width + length
P = (5.25x - 2.5) + (2.5x + 8) + (5.25x - 2.5) + (2.5x + 8)
P = 5.25x - 2.5 + 2.5x + 8 + 5.25x - 2.5 + 2.5x + 8
P = (5.25x + 2.5x + 5.25x + 2.5x) + (-2.5 + 8 - 2.5 + 8)
P = 15.5x + 5
Therefore, the perimeter of the rectangle is 15.5x + 5 feet.