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: Calculate scale for the first drawing

For the first drawing, length of the rug in real - life is \(L = 12\) feet and length in drawing is \(l=3\) inches.
The scale factor \(s\) (for length) is calculated as \(s=\frac{\text{Real - life length}}{\text{Drawing length}}\).
So, \(s=\frac{12}{3}\)

Step2: Simplify the scale for the first drawing

\(\frac{12}{3}=4\) feet per inch.
Also, check for width: real - life width \(W = 8\) feet and drawing width \(w = 2\) inches. \(\frac{8}{2}=4\) feet per inch.

Step3: Calculate scale for the second drawing

For the second drawing, length of the rug in real - life is \(L = 12\) feet and length in drawing is \(l = 6\) inches.
The scale factor \(s\) (for length) is calculated as \(s=\frac{\text{Real - life length}}{\text{Drawing length}}\). So, \(s=\frac{12}{6}\)

Step4: Simplify the scale for the second drawing

\(\frac{12}{6}=2\) feet per inch.
Also, check for width: real - life width \(W = 8\) feet and drawing width \(w = 4\) inches. \(\frac{8}{4}=2\) feet per inch.

Answer:

The first drawing: Every 1 inch represents \(4\) feet.
The second drawing: Every 1 inch represents \(2\) feet.