Final answer:
To solve the mathematical problem completely, we sum the width and length of the rectangle and then apply the perimeter formula. The perimeter of the rectangle is calculated as 17y + 9 feet.
Step-by-step explanation:
To find the perimeter of a rectangle when given the width and the length in terms of y, we need to use the formula Perimeter (P) = 2(length + width). In this case, the width is 6y - 2.5 feet, and the length is 2.5y + 7 feet.
Let's start by summing the length and the width:
(2.5y + 7) + (6y - 2.5) = 8.5y + 4.5
Now, to find the perimeter, we will multiply this sum by 2:
Perimeter = 2 * (8.5y + 4.5) = 17y + 9 feet.
Therefore, the perimeter of the rectangle is 17y + 9 feet.