Question

mr. sawicki made a scale drawing of a basketball court where the scale is 1/2 inch = 3 yards. label the dimensions of the scale drawing.

Explanation:

Step1: Calculate length of scale - drawing

Given scale is $\frac{1}{2}$ inch = 3 yards. The actual length of the basketball - court is 30 yards. Let the length of the scale - drawing be $x$ inches. Set up a proportion: $\frac{\frac{1}{2}\text{ inch}}{3\text{ yards}}=\frac{x\text{ inches}}{30\text{ yards}}$. Cross - multiply: $3x = 30\times\frac{1}{2}$, so $3x = 15$, and $x = 5$ inches.

Step2: Calculate width of scale - drawing

The actual width of the basketball - court is 18 yards. Let the width of the scale - drawing be $y$ inches. Set up a proportion: $\frac{\frac{1}{2}\text{ inch}}{3\text{ yards}}=\frac{y\text{ inches}}{18\text{ yards}}$. Cross - multiply: $3y=18\times\frac{1}{2}$, so $3y = 9$, and $y = 3$ inches.

Answer:

Length: 5 inches, Width: 3 inches