Question

mr. sawicki made a scale drawing of a basketball court where the scale is \\( \frac{1}{2} \\) inch = 3 yards. label the dimensions of the scale drawing. 30 yd 18 yd

Explanation:

Step1: Calculate the length of the scale drawing

The scale is \(\frac{1}{2}\) inch = 3 yards.
For the length of 30 yards, set up a proportion \(\frac{\text{scale length}}{\text{actual length}}=\frac{\frac{1}{2}}{3}\).
Let \(x\) be the scale length for 30 yards. Then \(\frac{x}{30}=\frac{\frac{1}{2}}{3}\), cross - multiply gives \(3x = 30\times\frac{1}{2}\), \(3x=15\), \(x = 5\) inches.

Step2: Calculate the width of the scale drawing

For the width of 18 yards, let \(y\) be the scale width. Using the proportion \(\frac{y}{18}=\frac{\frac{1}{2}}{3}\).
Cross - multiply: \(3y=18\times\frac{1}{2}\), \(3y = 9\), \(y = 3\) inches.

Answer:

The length is \(5\) inches and the width is \(3\) inches.