The rectangle shown is enlarged such that each side is multiplied by the value of the width, 2x. Which expression represents the perimeter of the enlarged rectangle? The rectangle shown is enlarged such that each side is multiplied by the value of the width, 2x. Which expression represents the perimeter of the enlarged rectangle? A. 4x + 2y B. 8x^2 + 2y C. 4x^2+2xy D. 8x^2+4xy

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Answer:

 The answer is

 D. 8x^2+4xy

Step-by-step explanation:

We know that the  expression for the perimeter is given as

P=2l+2B

now given that the value of the width is =2x

length= 4x

and the breadth=y

P=4x+2y

let us multiply both the length and the width with 2x we have

P=2x(4x+2y)

P=8x^2+4xy

the answer is

D. 8x^2+4xy

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