Final answer:
To find the area of the rectangle given a scale drawing and scale factor, multiply the length and width of the drawing by the scale factor. Round the answer to the nearest tenth.
Step-by-step explanation:
To find the area of the rectangle, we need to multiply its length and width. However, we don't have the actual measurements of the rectangle. So, we need to use the information given in the scale drawing. The scale factor is 1/24, which means that every measurement in the drawing is 1/24th of the actual measurement. We can find the dimensions of the actual rectangle by multiplying the measurements in the drawing by the scale factor.
Let's say the length and width of the rectangle in the drawing are 4 units and 3 units respectively. To find the actual length and width, we multiply these measurements by the scale factor: length = 4 * 1/24 = 1/6 ft, width = 3 * 1/24 = 1/8 ft.
Now, we can find the area of the actual rectangle by multiplying its length and width: area = (1/6) * (1/8) = 1/48 sq ft. Rounding this to the nearest tenth, the area of the actual carpet is approximately 0.02 square feet.