Question

WILL GIVE MEDALS!

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

*Table in comments*

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

@johnweldon1993

Answer 2

Well what do we know about the perimeter of a rectangle?

P = 2L + 2W

If that is true what is the perimeter of rectangle B?

P = 2(3x + 1) + 2(2x - 3)
P = 6x + 2 + 4x - 6
P = 10x - 4

That is the perimeter of Rectangle B..

So the perimeter of rectangle A would be

P = 2(2x + 4) + 2(x - 1)
P = 4x + 8 + 2x - 2
P = 6x + 6



The difference of the perimeters would be

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