Final answer:
To find the drawing's area for a rectangle with actual dimensions of 95m by 75m at a scale of 1cm to 10m, convert the dimensions to scaled measurements (9.5cm by 7.5cm) and then compute the area (71.25 cm²).
Step-by-step explanation:
The question is asking to find the area of the drawing of a rectangle when the actual dimensions are given and a scale is provided. First, we must use the scale to determine the scaled dimensions of the rectangle. The given scale is 1 cm to 10 m, so we convert the actual dimensions of 95 m by 75 m into centimeters using this scale, which would be 9.5 cm by 7.5 cm on the drawing. To find the area, we multiply these scaled dimensions together.
Area of the drawing = length × width = 9.5 cm × 7.5 cm = 71.25 cm2
To accurately convert measurements, we use conversion factors that are defined by the prefixes in the metric system. For example, 1 meter is 100 centimeters, so to convert meters to centimeters, you would multiply by 100. Similarly, for converting square meters to square centimeters, we square the conversion factor since we are dealing with area (100 cm × 100 cm for every square meter).