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? scale = 6 in. : 30 yd motel fire safety map east 2 in.

Explanation:

Step1: Find the scale - factor

The scale is given as 6 in. : 30 yd. First, simplify the scale ratio. Divide both sides by 6. The scale factor is 1 in. : 5 yd.

Step2: Measure the length on the drawing

Let's assume the length of the east - side on the drawing is \(l_{d}\) inches. From the problem, we need to use the scale to find the actual length \(l_{a}\). The formula for converting from drawing length to actual length is \(l_{a}=l_{d}\times5\) (since 1 in on the drawing represents 5 yd in actual). If we measure the length of the east - side on the drawing and say it is \(l_{d}\) inches, then the actual length \(l_{a}\) (in yards) is given by multiplying the drawing length by 5.
If the length of the east - side on the drawing is, for example, 4 inches, then \(l_{a}=4\times5 = 20\) yd.

Answer:

To find the actual length of the east - side of the motel, multiply the length of the east - side in the scale drawing (in inches) by 5. The number you multiply each length in the scale drawing by to find the actual length is 5.