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mr. smith made a scale drawing of a basketball court that has a scale o…

Question

mr. smith made a scale drawing of a basketball court that has a scale of 1 inch = 3 yards. label the dimensions of the scale drawing.

Explanation:

Step1: Find length in scale drawing

Given scale is 1 inch = 3 yards. The actual length of the basketball - court is 30 yards. Let the length in the scale - drawing be $x$ inches. We set up a proportion $\frac{1}{3}=\frac{x}{30}$. Cross - multiplying gives $3x = 30$, so $x=\frac{30}{3}=10$ inches.

Step2: Find width in scale drawing

Assume the actual width of the basketball - court is 15 yards (it seems the width value is missing in the problem statement, but a standard basketball court width is 15 yards). Let the width in the scale - drawing be $y$ inches. Using the scale 1 inch = 3 yards and setting up a proportion $\frac{1}{3}=\frac{y}{15}$. Cross - multiplying gives $3y = 15$, so $y = 5$ inches.

Answer:

Length: 10 in, Width: 5 in