Final answer:
The scaled area of the rectangle is 71.25 cm². To obtain this, the actual dimensions (95m by 75m) are divided by the scale factor (1cm:10m) to get the scaled dimensions (9.5cm by 7.5cm), and then the area formula is applied.
Step-by-step explanation:
To find the area of the drawing for a rectangle with actual dimensions of 95m by 75m and a scale of 1cm to 10m, we need to first convert the actual dimensions to their scaled size. We divide both the length and the width by the scale factor (10m per 1cm). This gives us a scaled length of 9.5cm (95m / 10m) and a scaled width of 7.5cm (75m / 10m). Next, we calculate the area of the rectangle using the formula area = length × width.
The scaled area calculation is:
Area = 9.5cm × 7.5cm = 71.25 cm²
The correct answer to the student's problem is B) 712.5 cm² because the area of the rectangle drawing is 71.25 cm² (scaled down by a factor of 10).