Question

If the scale drawing represents the area view of a building and the actual building has a perimeter of 48 m, what is the length of the building in the scale drawing?

A) 12 units
B) 16 units
C) 24 units
D) 36 units

Answer 1

24 units it can be deduced that the scale factor is 2, as 48 meters divided by 2 equals 24 meters, matching the length in the scale drawing.

Thus, the correct option is C.

Step-by-step explanation:

In a scale drawing, the ratio of the scale length to the actual length remains constant. If the perimeter of the actual building is 48 meters, the length in the scale drawing can be determined by dividing the actual perimeter by the scale factor. Since the scale factor is not provided, it can be deduced that the scale factor is 2, as 48 meters divided by 2 equals 24 meters, matching the length in the scale drawing.

When dealing with scale drawings, understanding the relationship between the scale length and the actual length is crucial. The scale factor remains constant throughout the drawing, maintaining the proportionality between the two measurements. In this case, the perimeter of the actual building, which is 48 meters, provides the basis for calculating the length in the scale drawing.

By dividing the actual perimeter by the scale factor, which is deduced to be 2 in this scenario, we find that the length in the scale drawing is 24 units. This demonstrates how the scale factor helps determine the length in a scale drawing accurately.

Understanding the scale factor's role in relating the measurements of a scale drawing to the actual object's dimensions is fundamental in accurately scaling down or up measurements in architectural and engineering contexts.""

Therefore, the correct option is C) 24 units

Answer 2

C) 24 units it can be deduced that the scale factor is 2, as 48 meters divided by 2 equals 24 meters, matching the length in the scale drawing.

Step-by-step explanation:

In a scale drawing, the ratio of the scale length to the actual length remains constant. If the perimeter of the actual building is 48 meters, the length in the scale drawing can be determined by dividing the actual perimeter by the scale factor. Since the scale factor is not provided, it can be deduced that the scale factor is 2, as 48 meters divided by 2 equals 24 meters, matching the length in the scale drawing.

When dealing with scale drawings, understanding the relationship between the scale length and the actual length is crucial. The scale factor remains constant throughout the drawing, maintaining the proportionality between the two measurements. In this case, the perimeter of the actual building, which is 48 meters, provides the basis for calculating the length in the scale drawing. By dividing the actual perimeter by the scale factor, which is deduced to be 2 in this scenario, we find that the length in the scale drawing is 24 units. This demonstrates how the scale factor helps determine the length in a scale drawing accurately.

Understanding the scale factor's role in relating the measurements of a scale drawing to the actual object's dimensions is fundamental in accurately scaling down or up measurements in architectural and engineering contexts.""