Question

This scale drawing shows a parking lot with an actual length of 315 meters. What is the scale?

6.3 cm
4.7 cm
A. 1 cm: 10 m
B. 1 cm: 50 m
C. 1 cm: 63 m
D. 1 cm : 100 m

Answer 1

To determine the scale of a drawing representing a 315-meter parking lot, convert the actual length to centimeters and then compare it to the drawing length, which leads to a scale of 1 cm: 50 m.

Step-by-step explanation:

The question asks for the scale of a drawing representing a parking lot that is actually 315 meters in length. To find the scale, we need to compare the actual length to the length on the drawing. The lengths given on the scale drawing (6.3 cm for the actual 315 meter length) can be used to determine the scale factor.

First, we convert the actual length to centimeters using the fact that 1 meter is equivalent to 100 centimeters:

• 315 meters × 100 cm/meter = 31,500 centimeters

Now we compare the length in centimeters on the drawing to the actual length in centimeters to find the scale:

• 6.3 cm (drawing) / 31,500 cm (actual) = 1 cm : 50 meters

Therefore, the scale of the drawing is 1 cm: 50 m (Option B).