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 length of scale - drawing

The 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: $3x = 30\times\frac{1}{2}$.
$3x=15$
$x = 5$ 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: $3y=18\times\frac{1}{2}$.
$3y = 9$
$y = 3$ inches.

Answer:

The length of the scale - drawing is 5 inches and the width is 3 inches.