14. What is the area of a square with side length 4 units?

Answer: A

Explanation:

The area of a square with side length 4 units is 16 square units.

The area of a square is calculated using the formula \( \text{Area} = \text{side length}^2 \). For a square with a side length of 4 units, the area is \( 4^2 = 16 \) square units.

A) 16 square units

This option is correct because it accurately reflects the calculated area of the square. By squaring the side length of 4 units, we indeed find that the area is \( 16 \) square units.

B) 12 square units

This option is incorrect. The area of a square cannot be 12 square units when the side length is 4 units, as calculated by \( 4 \times 4 = 16 \) square units.

C) 8 square units

This option is also incorrect. An area of 8 square units does not arise from squaring the side length of 4 units. The correct multiplication yields 16 square units.

D) 4 square units

This option is incorrect as well. The area of a square with a side length of 4 units cannot be 4 square units since the area is found by squaring the side length, resulting in \( 16 \) square units.

Conclusion

The only correct answer is 16 square units, as it accurately represents the area calculated from the side length of 4 units. All other options fail to meet the criteria of the area formula for a square, demonstrating a misunderstanding of the geometric concepts involved.