I already got the answer but can someone please check it?

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?
(a) 4x-10

Question

I already got the answer but can someone please check it?


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?
(a) 4x-10 <-- My Answer
(b) 4x-14
(c) 16x+18
(d) 16x+14

anonymous · Answer

Perimeter of B: $$2(3x+1)+2(2x-3) = 10x - 4$$

Perimeter of A: $$2(2x+4) + 2(x-1) = 6x + 6$$

$$(10x - 4) - (6x + 6) = 4x - 10$$

You are correct.

shes.radical · Answer

thanks!