Question

the scale drawing shows the dimensions of a motel. the scale is shown in the drawing. find the actual length of the east side. 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 scale = 6 in. : 30 yd east 2 in

Explanation:

Step1: Understand the scale

The scale is \( 6 \text{ in.} : 30 \text{ yd} \), which means \( 6 \) inches on the drawing represents \( 30 \) yards in actual. First, find the scale factor (the number to multiply the drawing length by to get actual length). Calculate \( \frac{30}{6}=5 \). So the scale factor is \( 5 \) (this answers the first sub - question).

Step2: Calculate actual length for 2 in.

The drawing length of the east side is \( 2 \) inches. To find the actual length, multiply the drawing length by the scale factor. So actual length \( = 2\times5 = 10 \) yards (this answers the second sub - question).

Answer:

• The number to multiply each length in the scale drawing by to find the actual length is \( 5 \).
• The actual length of the east side of the motel is \( 10 \) yards.