Question

Martinis town is building a volleyball court based on a scale drawing that is 40 cm by 80 cm and uses the scale 1 cm:22.5 cm. What are the dimensions of the actual volleyball court?

1) 1.8 m by 3.6 m
2) 0.8 m by 1.6 m
3) 2.2 m by 4.5 m
4) 4.0 m by 8.0 m

Answer 1

To find the actual dimensions of the volleyball court, the dimensions of the scale drawing (40 cm by 80 cm) are multiplied by the scale factor (22.5 cm), yielding a court size of 9 meters by 18 meters, which does not match the given options.

Step-by-step explanation:

The question asks for the real-life dimensions of a volleyball court based on a scale drawing. The scale is given as 1 cm on the drawing representing 22.5 cm in reality. To find the proportions of the actual volleyball court, we multiply the dimensions of the scale drawing by the scale factor.

Step-by-Step Calculation:

1. Multiply the length of the scale drawing (40 cm) by the scale factor (22.5 cm): 40 cm × 22.5 cm = 900 cm.
2. Convert the length from centimeters to meters: 900 cm = 9 meters.
3. Multiply the width of the scale drawing (80 cm) by the scale factor (22.5 cm): 80 cm × 22.5 cm = 1800 cm.
4. Convert the width from centimeters to meters: 1800 cm = 18 meters.

Therefore, the dimensions of the actual volleyball court are 9 meters by 18 meters. However, none of the provided options match this result, suggesting there may be an error in the question or the answer choices.