Question

Help me with part A and part B

Answer 1

Part A

1. 12 x - 3/2

2. 4 (12 x - 3/2)

Part B:

The fourth option (12 x - 1.5) +(12 x - 1.5)+ (12 x - 1.5) + (12 x - 1.5)

The second option; 24x - 3 + 24 x -3

The first option: 6 (8 x -1)

Step-by-step explanation:

We are told that the figure is a square; therefore, each side length makes an equal contribution to the perimeter.

`side\; length=(48x-6)/(4)`
`side\; length=12x-1.5`

Using the side length above, we can get the perimeter again

`perimeter=4(12x-1.5)`

Part B:

How many ways are there to rewrite the expression for the perimeter?

Some of the ways are

`48x-6=6(8x-1)`
`48x-6=(12x-1.5)+(12x-1.5)+(12x-1.5)+(12x-1.5)`

and

`48-6=(24x-3)+(24x-3)`