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19 October, 08:51

A square has a side length of (2x + 4) inches.

Which expressions represent the area, in square inches, of this square? Select all that apply.

A. 8x + 16

B. 4x2 + 16

C. (2x + 4) 2

D. 2 (x + 2) 2

E. 4 (x + 2) 2

F. 4x2 + 16x + 16

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Answers (2)
  1. 19 October, 09:22
    0
    Answer will be C E and F

    The solution are the same as the another person
  2. 19 October, 11:24
    0
    The answer is C, E and F.

    Step-by-step explanation:

    Given that the area of square is, Area = length*width. In a square, all sides are equal so you have to substitute (2x+4) into the formula:

    Let length be (2x+4) inches,

    Let width be (2x+4) inches,

    Area = (2x+4) (2x+4)

    = (2x+4) ² (option C)

    = 4x² + 16x + 16 (option F)

    = 4 (x² + 4x + 4) (Factorize)

    = 4 (x+2) ² (option E)

    You can use the formula, (a+b) ² = a² + 2ab + b² to evaluate quickly.
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