Final answer:
The perimeter of a rectangle with a width of 6y-25 feet and length 2.5y+7 feet is calculated by the formula P = 2 × width + 2 × length, yielding 17y - 36 feet.
Step-by-step explanation:
The question asks for the perimeter of a rectangle with a width of 6y-25 feet and a length of 2.5y+7 feet. To find the perimeter of a rectangle, you add up all the sides of the rectangle. The perimeter (P) of a rectangle is calculated by the formula P = 2 × width + 2 × length.
To apply the given measurements to the formula:
- The width is 6y-25 feet.
- The length is 2.5y+7 feet.
Substituting the values, we get:
P = 2(6y-25) + 2(2.5y+7)
Further simplifying gives us:
P = 12y - 50 + 5y + 14
Combining like terms, we find:
P = 17y - 36
Therefore, the perimeter of the rectangle is 17y - 36 feet.