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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

Sagot :

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

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

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

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

Answer:

2x+6

Step-by-step explanation:

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