Question

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

Explanation:

Step1: Find the scale factor

The scale is \(6\) in. : \(30\) yd. To find the number to multiply each length in the scale drawing (in inches) to get the actual length (in yards), divide the actual length by the scale - drawing length. The scale factor \(k=\frac{30}{6}=5\).

Step2: Calculate the actual length of the east - side

The length of the east - side in the scale drawing is \(2\) inches. Using the scale factor \(k = 5\) (from Step1), the actual length \(L\) (in yards) is found by the formula \(L=\text{scale - drawing length}\times k\). So \(L=2\times5 = 10\) yd.

Answer:

1. The number is \(5\).
2. The actual length of the east side of the motel is \(10\) yd.