Question

Sam made a scale drawing of a boarding school. He used the scale 1 millimeter: 5 meters. In the drawing, a building at the school is 25 millimeters long and 30 millimeters meters wide. What is the length and width of the actual building?

a) Length: 125 meters, Width: 150 meters
b) Length: 100 meters, Width: 120 meters
c) Length: 150 meters, Width: 180 meters
d) Length: 200 meters, Width: 240 meters

Answer 1

By applying the scale factor of 1 millimeter: 5 meters, the actual length and width of the building are determined to be 125 meters and 150 meters respectively, corresponding to option (a).

Step-by-step explanation:

To solve the problem of converting the scale drawing measurements to the actual size of a building, you use the given scale factor. Sam made a scale drawing using the scale 1 millimeter: 5 meters. This means that 1 millimeter on the drawing represents 5 meters in the actual building.

The scale drawing of the building is 25 millimeters long and 30 millimeters wide. To find the length in actual size, you multiply the drawing length by the scale factor: 25 mm × 5 meters/mm = 125 meters. To find the width in actual size, you do the same with the drawing width: 30 mm × 5 meters/mm = 150 meters. Therefore, the length and width of the actual building are 125 meters and 150 meters respectively, which corresponds to option (a).