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

Explanation:

Step1: Understand the scale

The scale is given as \( 6 \) inches (drawing) : \( 30 \) yards (actual). We need to find the scale factor, which is the number we multiply the drawing length by to get the actual length.

Step2: Calculate the scale factor

To find the scale factor, we divide the actual length by the drawing length. So, \( \frac{30\ \text{yd}}{6\ \text{in}} = 5\ \text{yd per inch} \). This means we multiply each length in the drawing (in inches) by \( 5 \) to get the actual length in yards.

Step3: Find the actual length of the east side

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

Answer:

The actual length of the east side is \( 10 \) yards, and the number to multiply each drawing length by is \( 5 \).