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

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.

Answer will be C E and F

The solution are the same as the another person