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? 4x − 10 4x − 14 16x + 18 16x + 14

Answer 1

The above answer is correct.

Explanation:

Answer 2

4x − 10

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