Question

The length of a rectangle is represented by 4x+6. The width is half the length. What expression represents the perimeter of the rectangle?

Answer 1

Answer: P = 12x + 18

Step-by-step explanation: When you find the perimeter, you do length + length + width +width. Saying 2L + 2W = P is the same thing.

• 2L = 2(4x +6)
• 2W = 4x +6 (if the width is equal to half the length, twice the width is equal to the length).
• P = 2L + 2W
• P = 2(4x + 6) + 4x + 6 (substitute for L and W)
• P = 8x + 12 + 4x + 6 (distribute)
• P = 12x + 18 (combine like terms)