Final answer:
The question involves converting real-life measurements of a swimming pool area to the equivalent measurements on a scale drawing for a presentation. The provided scale is 1 inch equals 5 meters. The correct dimensions for the pool area on the diagram that correspond to the realistic options given would be 30m x 12m (option b), which would be represented by 6 inches by 2.4 inches on the scale drawing.
Step-by-step explanation:
The student's question pertains to a scale drawing representing a swimming pool area that is to be presented to a city council. To determine the overall dimensions of the swimming pool area on the diagram when the actual measurements are given in meters, we need to apply the given scale factor from the diagram to real life. In this case, the scale indicates that 1 inch on the diagram is equivalent to 5 meters in real life.
Let's consider the options provided for the dimensions of the pool area including the tile area:
- 15m x 6m
- 30m x 12m
- 60m x 24m
- 75m x 30m
To find out how each of these dimensions would translate onto the scale drawing, we divide each measurement by the scale factor (5 meters per inch). As such:
- For 15 meters, we get 15m / 5m per inch = 3 inches,
- For 30 meters, we get 30m / 5m per inch = 6 inches,
- For 60 meters, we get 60m / 5m per inch = 12 inches,
- For 75 meters, we get 75m / 5m per inch = 15 inches.
Hence, the correct option that fits a possible scale diagram measurement for the real-life pool area would be option (b) 30m x 12m, as this dimensions on the diagram would be represented by 6 inches by 2.4 inches, which are reasonable measurements for a large diagram intended for a presentation to a city council.