Question

below are two scale drawings of a rug that has a length of 12 feet and a width of 8 feet. what is the scale used for each drawing? every 1 inch represents feet. every 1 inch represents feet.

Explanation:

Step1: Convert feet to inches for real - rug

The real - rug length is 12 feet and width is 8 feet. Since 1 foot = 12 inches, the real - rug length in inches is \(12\times12 = 144\) inches and width is \(8\times12=96\) inches. But we can also use the ratio of feet to inches in the scale drawing directly.

Step2: Calculate scale for the first drawing

The length of the first scale drawing is 3 inches and the real - length is 12 feet. The scale is calculated as \(\frac{12}{3}=4\) feet per inch.

Step3: Calculate scale for the second drawing

The length of the second scale drawing is 6 inches and the real - length is 12 feet. The scale is calculated as \(\frac{12}{6}=2\) feet per inch.

Answer:

1. For the first drawing: 4
2. For the second drawing: 2