Final answer:
The area of a rectangular drawing with actual dimensions of 95m by 75m and a scale of 1cm to 10m is calculated by first finding the scaled dimensions (9.5cm by 7.5cm) and then multiplying them together to get an area of 71.25cm².
Step-by-step explanation:
The question asks to find the area of a rectangular drawing when scaled down. Given the actual dimensions of the rectangle are 95m by 75m, and the scale of the drawing is 1cm to 10m, we first need to calculate the scaled dimensions.
First, we convert the real dimensions into the scaled dimensions:
- Length: 95m divided by the scale factor (10m/cm) = 9.5cm
- Width: 75m divided by the scale factor (10m/cm) = 7.5cm
Now, we calculate the area of the drawing using the formula for the area (length × width) in square centimeters:
Area = 9.5cm × 7.5cm
= 71.25cm²
Therefore, the answer is (c) 71.25cm², which shows the area of the scaled-down drawing.