Question

The following table shows the length and width of two rectangles:

Length Width
Rectangle A 2x + 4 x − 1
Rectangle B 3x + 1 2x − 3
Which expression is the result of the perimeter of rectangle B minus the perimeter of rectangle A?

Answer 1

p=2(l+w)

[2(3x+1)+2(2x-3)]-[2(2x+4)+2(x-1)]
[(6x+2)+(4x-6)]-[(4x+8)+(2x-2)]
[10x-4]-[6x+6]
4x-10

Answer 2

`(4x-10)`

Explanation:

we know that

The perimeter of a rectangle is equal to

`P=2(L+W)`

where

L is the length

W is the width

Step 1

Find the perimeter of rectangle A

Substitute the values

`PA=2((2x+4)+(x-1))`

`PA=2(3x+3)`

`PA=(6x+6)\ units`

Step 2

Find the perimeter of rectangle B

Substitute the values

`PB=2((3x+1)+(2x-3))`

`PB=2(5x-2)`

`PB=(10x-4)\ units`

Step 3

Find the result of the perimeter of rectangle B minus the perimeter of rectangle A

`PB-PA=(10x-4)-(6x+6)=(4x-10)\ units`