A certain square has sides of length x. If the length of each side is doubled, then which of the following represents...

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A certain square has sides of length x. If the length of each side is doubled, then which of the following represents the area of the resulting square, in terms of x?

A. x^2
B. 2x^2
C. 4x
D. 4x^2
E. x^2+4

OA D
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Manhattan Prep

A certain square has sides of length x. If the length of each side is doubled, then which of the following represents the area of the resulting square, in terms of x?

A. x^2
B. 2x^2
C. 4x
D. 4x^2
E. x^2+4

OA D
Solution:

If the square doubles its side length of x, then the resulting side length will be 2x, and the resulting area will be (2x)^2 = 4x^2.

Answer: D

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