Final answer:
The area of the drawing, based on the scale of 1 inch to 10 feet for a basement that is 28 feet wide and 35 feet long, is 9.8 square inches.
Step-by-step explanation:
To find the area of the drawing on a scale of 1 inch to 10 feet for a basement that is 28 feet wide and 35 feet long, we first convert the actual dimensions to inches on the drawing using the scale factor. Then, we calculate the area of the drawing in square inches and convert that to square feet if necessary. The scale factor is 1 inch/10 feet.
Step 1: Convert the width and length from feet to inches on the drawing scale.
- Width: 28 feet / 10 feet/inch = 2.8 inches
- Length: 35 feet / 10 feet/inch = 3.5 inches
Step 2: Calculate the area of the drawing by multiplying the width and length in inches.
- Area = Width × Length = 2.8 inches × 3.5 inches = 9.8 square inches
Since the question asks for the area in numbers only and does not specify the unit, the area of the drawing is 9.8 (assuming the unit is square inches as per the scale).