National Occupational Competency Testing Institute (NOCTI) Carpentry Practice Exam

What is the area of a square with a side length of 8 cm?

1. 64 cm²

2. 32 cm²

3. 16 cm²

4. 24 cm²

The correct answer is: 64 cm²

To determine the area of a square, you use the formula: \[ \text{Area} = \text{side length} \times \text{side length} \] In this case, the side length of the square is 8 cm. Therefore, the calculation for the area would be: \[ \text{Area} = 8 \, \text{cm} \times 8 \, \text{cm} = 64 \, \text{cm}² \] This means the area of the square is 64 cm². Understanding this formula is crucial in carpentry and construction because it allows you to assess the amount of material needed for flooring, tiles, or other square shapes when planning a project. The other options present areas that do not correspond to the side length given. For instance, 32 cm², 16 cm², and 24 cm² result from using side lengths that either do not match the given measurements or involve incorrect calculations based on the square's properties.