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 first drawing

The actual length of the rug is 12 feet and its length in the first - drawing is 3 inches. Let 1 inch represent $x$ feet. Then we have the proportion $\frac{3}{12}=\frac{1}{x}$. Cross - multiplying gives $3x = 12$, so $x=\frac{12}{3}=4$.

Step2: Calculate scale for second drawing

The actual length of the rug is 12 feet and its length in the second - drawing is 6 inches. Let 1 inch represent $y$ feet. Then we have the proportion $\frac{6}{12}=\frac{1}{y}$. Cross - multiplying gives $6y = 12$, so $y=\frac{12}{6}=2$.

Answer:

4; 2