Answer:
The perimeter of the rectangle is 27n + 1 feet
Step-by-step explanation:
The formula of the perimeter of the rectangle is P = 2(L + W), where
- L is the length of the rectangle
- W is the width of the rectangle
∵ The width of a rectangle is 7n - 6.5 feet
∴ W = 7n - 6.5 feet
∵ The length of the rectangle is 6.5n + 7 feet
∴ L = 6.5n + 7 feet
→ Substitute W and L in the formula of the perimeter above
∵ P = 2[6.5n + 7 + 7n - 6.5]
→ Add the like terms
∴ P = 2[(6.5n + 7n) + (7 - 6.5)]
∴ P = 2[13.5n + 0.5]
→ Multiply the terms in the bracket by 2
∴ P = 27n + 1
∴ The perimeter of the rectangle is (27n + 1) feet
