Final answer:
To find the actual area of a carpet from a scale drawing, multiply the dimensions on the drawing by the scale factor, then compute the area as length times width. The correct option is B.
Step-by-step explanation:
To determine the actual area of a carpet using a scale drawing, one would need to know the dimensions on the drawing and the scale factor. For instance, if the scale drawing indicates that the carpet is scaled down by a factor of 1/24, this means that every unit of measure on the drawing would represent 24 of the same units in reality. To calculate the actual area, one must first convert the drawn dimensions to their real-life counterparts by multiplying by the scale factor, and then calculate the area using the formula for the area of a rectangle, which is length times width.
For example, if a carpet's dimensions on the scale drawing are given as 1 meter by 1 meter, and the scale factor is 1/24, the actual dimensions would be 24 meters by 24 meters. Therefore, the actual area of the carpet would be 24 * 24 = 576 square meters.