The area, A, of a square is equivalent to the square of its side lengths.

Question

A = (x)(x) square units
A = (6)(6) square units
A = (x+x) square units
A = 2(6) square units
A = s^2 square units
choose all that apply

Answer 1

The area \( A \) of a square is indeed equivalent to the square of its side length. Let's analyze the statements provided:

1. A = (x)(x) square units

   • This is correct, as \( A = x^2 \) where \( x \) is the side length of the square.

2. A = (6)(6) square units

   • This is also correct for a square with side length 6. Here, \( A = 36 \) square units.

3. A = (x+x) square units

   • This is not correct. The area cannot be expressed as \( x + x \) (which simplifies to \( 2x \)). The correct expression for area is the square of the side length, \( x^2 \).

4. A = 2(6) square units

   • This is not correct either. \( 2(6) = 12 \), which does not represent the area of a square. The area should be \( 6^2 = 36 \) square units.

5. A = s^2 square units

   • This is correct, as well. Here, \( s \) represents the side length of the square, and the area is defined as \( s^2 \).

Based on this analysis, the correct statements are:

• A = (x)(x) square units
• A = (6)(6) square units
• A = s^2 square units