Question

javier drew a scale drawing of a neighborhood park. the scale of the drawing was 2 inches : 9 yards. the actual width of a soccer field in the park is 63 yards. how wide is the field in the drawing? inches

Explanation:

Step1: Set up the proportion

Let $x$ be the width of the field in the drawing. The scale is based on the ratio of the actual - to - drawn lengths. We know that 9 yards in actual is represented by 2 inches in the drawing. The actual width of the field is 63 yards. The proportion is $\frac{9}{2}=\frac{63}{x}$.

Step2: Cross - multiply

Cross - multiplying the proportion gives us $9x = 2\times63$.

Step3: Simplify the right - hand side

$2\times63 = 126$, so the equation becomes $9x=126$.

Step4: Solve for $x$

Dividing both sides of the equation $9x = 126$ by 9, we get $x=\frac{126}{9}=14$.

Answer:

14