Question

8. A rectangular room is shown.

4x - 1
Tx
2
3x²+6.
A. (4x-1)-2x
B. (3x2+6) + (4x - 1) + x
C. (4-1)-(3x² + 6)
(3x²+6) + 2(4x-1) + 2x
-Door-
X-
4x-1
Port A: Which of the following expressions represents the perimeter of the room without the
door?
63x²+6)+(4x-1)x2+²x = (3x²+6) + 2(4x-1)+2x
Port B: What is the perimeter of the room without the door in simplest form? Show your
work.
The area of the room
without the door would be 14x+10 due to
simplifying at combining like terms of primeter: 2 (4x+1)+₂(3x+6)

I just need part b. But can someone make sure if part a and part b are correct?

Answer 1

Answer: 14x + 14

Step-by-step explanation: To find the perimeter of the room without the door, we need to add up the four sides. Using the simplified expression for the perimeter, which is 2(4x+1) + 2(3x+6), we can simplify further by distributing the 2:

2(4x+1) + 2(3x+6) = 8x + 2 + 6x + 12

Combining like terms, we get:

14x + 14

Therefore, the perimeter of the room without the door in simplest form is 14x+14.