The expression that represents the area of the square are;
C. (2x + 4)²
E. 4(x + 2)²
F. 4x² + 16x + 16
A square is a quadrilateral with all sides equal. The area of a square is expressed as;
A = l²
where l is the length of the square.
Since the side length is (2x + 4) then the expression for the area can be ;
1. A = (2x + 4)²
2. We can expand (2x + 4)²
= (2x + 4)(2x + 4)
= 4x + 16x + 16
3. (2x + 4)²
= (2( x + 2))²
= 4 ( x + 2)²
Question
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