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

Question

3 years ago

11

rectangle?

1 answer:

Andrej [43] · Answer 1 · 2022-04-01T08:50:28+03:00

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)