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? 4x − 10 4x − 14 16x + 18 16x + 14

4x − 10

Step-by-step explanation:

The width of rectangle A is 2x+4 and the length of rectangle A is x-1.  This makes the perimeter

2(2x+4)+2(x-1)

= 4x+8+2x-2

= 6x+6

The width of rectangle B is 3x+1 and the width of rectangle B is 2x-3.  This makes the perimeter

2(3x+1)+2(2x-3)

= 6x+2+4x-6

= 10x-4

Subtracting Perimeter B - Perimeter A, we ahve

(10x-4)-(6x+6)

= 10x-4-6x-6

= 4x-10