Question

The scale drawing represents the top view of a pool with a perimeter of 150 m. Draw another scale drawing of the pool using the scale 25 m to 2 units. Why is your drawing accurate?

a) The drawing accurately represents the dimensions of the pool, maintaining the scale of 25 m to 2 units, ensuring proportionality.

b) The drawing has a perimeter of 150 m and matches the scale of 25 m to 2 units, providing an accurate depiction of the actual pool.

c) The drawing is precise because it follows the scale of 25 m to 2 units, ensuring the correct ratio between the drawing and the actual pool.

d) The drawing accurately reflects the pool's perimeter of 150 m, adhering to the specified scale of 25 m to 2 units, demonstrating correctness in proportion.

Answer 1

The scale drawing of the pool would be accurate if it maintains a consistent scale of 25 meters to 2 units and reflects a perimeter of 6 units in the drawing, which represents the actual perimeter of 150 meters. This is achieved by adherence to the unit scale and proportions.

Step-by-step explanation:

When creating a scale drawing, it is crucial to maintain the proper scale factor to ensure accuracy in representation. If a student has to draw a pool with a perimeter of 150 meters using a unit scale of 25 meters to 2 units, they would follow these steps:

1. 
   
2. Determine the total number of units for the drawing by dividing the perimeter of the actual pool (150 meters) by the scale (25 meters). 150 meters ÷ 25 meters = 6 units.
3. 
   
4. With the total units known, the student can then distribute these units along the sides of the pool to ensure the sum of all sides equals 6 units.
5. 
   
6. Draw the pool using these unit measurements ensuring that the total distance around the pool equals 6 units. This will provide a scale drawing that accurately represents the true perimeter of the actual pool.

The drawing is accurate because it follows the rule of proportions, keeping the scale of 25 meters to 2 units consistent throughout the drawing process. Proportionally, the drawing reflects actual distances, ensuring that the representation is true to scale.