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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

Respuesta :

calculista

Answer:

Option  [tex](4x-10)[/tex]

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

[tex]P=2(L+W)[/tex]

where

L is the length

W is the width

Step 1

Find the perimeter of rectangle A

Substitute the values

[tex]PA=2((2x+4)+(x-1))[/tex]

[tex]PA=2(3x+3)[/tex]

[tex]PA=(6x+6)\ units[/tex]

Step 2

Find the perimeter of rectangle B

Substitute the values

[tex]PB=2((3x+1)+(2x-3))[/tex]

[tex]PB=2(5x-2)[/tex]

[tex]PB=(10x-4)\ units[/tex]

Step 3

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

[tex]PB-PA=(10x-4)-(6x+6)=(4x-10)\ units[/tex]

Answer:

person above is correct

Step-by-step explanation:

The answer is 4x − 10

I took the quiz and got it right

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