Angelwulf
Answered

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?

Verified Answer :

christinann062

p=2(l+w)

[2(3x+1)+2(2x-3)]-[2(2x+4)+2(x-1)]
[(6x+2)+(4x-6)]-[(4x+8)+(2x-2)]
[10x-4]-[6x+6]
4x-10

calculista

Answer:

\((4x-10)\)

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

\(P=2(L+W)\)

where

L is the length

W is the width

Step 1

Find the perimeter of rectangle A

Substitute the values

\(PA=2((2x+4)+(x-1))\)

\(PA=2(3x+3)\)

\(PA=(6x+6)\ units\)

Step 2

Find the perimeter of rectangle B

Substitute the values

\(PB=2((3x+1)+(2x-3))\)

\(PB=2(5x-2)\)

\(PB=(10x-4)\ units\)

Step 3

Find the result of the perimeter of rectangle B minus the perimeter of rectangle A

\(PB-PA=(10x-4)-(6x+6)=(4x-10)\ units\)



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