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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

Respuesta :

CHERLYNnotCHERRY

Answer:

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