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 east 2 in. scale = 6 in. : 30 yd

Explanation:

Step1: Understand the scale

The scale is given as \( 6 \) inches : \( 30 \) yards. We need to find the conversion factor, which is the number of yards per inch.

Step2: Calculate the conversion factor

To find how many yards correspond to 1 inch in the scale, we divide the number of yards by the number of inches. So, \( \frac{30\ \text{yd}}{6\ \text{in}} = 5\ \text{yd/in} \). This means we multiply each length in the scale drawing (in inches) by 5 to get the actual length in yards.

For the actual length of the east side:

Step1: Identify the length in the scale drawing

The east side in the scale drawing is \( 2 \) inches.

Step2: Multiply by the conversion factor

Using the conversion factor we found (5 yd per inch), we multiply the scale length by 5. So, \( 2\ \text{in} \times 5\ \text{yd/in} = 10\ \text{yd} \).

Answer:

(for the multiplier):
5