Harkema751
Answered

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



Length Width

Rectangle A 3x + 2 2x - 1

Rectangle B x + 5 5x - 1



Which expression is the result of the perimeter of rectangle B minus the perimeter of rectangle A?

2x + 2

2x + 6

22x + 14

22x + 18

Verified Answer :

naǫ

The perimeter of a rectangle is equal to two times the sum of the length and the width.
\(P=2(l+w)\)

Rectangle A:
\(l=3x+2 \\ w=2x-1 \\ \\ P_A=2(3x+2+2x-1)=2(5x+1)=10x+2\)

Rectangle B:
\(l=x+5 \\ w=5x-1 \\ \\ P_B=2(x+5+5x-1)=2(6x+4)=12x+8\)

The perimeter of rectangle B minus the perimeter of rectangle A:
\(P_B - P_A=12x+8-(10x+2)=12x+8-10x-2=\boxed{2x+6}\)

Answer:

2x+6

Step-by-step explanation:

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