Question

what number can you multiply each length in the scale drawing by to find the actual length?
5
what is the actual length of the east side of the motel?
yd
motel fire safety map
east 2 in.
scale = 6 in. : 30 yd

Explanation:

Step1: Determine the scale factor

The scale is given as \(6\) in. : \(30\) yd. To find the number to multiply the scale drawing length by, we calculate the ratio of actual length to scale drawing length. So, \(\frac{30\,\text{yd}}{6\,\text{in.}} = 5\,\text{yd per in.}\). This means we multiply the scale drawing length by \(5\) to get the actual length.

Step2: Calculate the actual length of the east side

The east side in the scale drawing is \(2\) in. long. Using the scale factor we found (5 yd per in.), we multiply the scale length by the scale factor: \(2\,\text{in.} \times 5\,\text{yd/in.} = 10\,\text{yd}\).

Answer:

10