Stanley measured a county park and made a scale drawing. The picnic area, which is 120 yards long in real life, is 270 inches long in the drawing. What scale did Stanley use?
9 inches : ___ yards
To find the scale, we need to compare the length in the drawing to the length in real life.
Let's set up the proportion:
(inches in the drawing) / (yards in real life) = (inches in the drawing) / (yards in real life)
We know that the length in the drawing is 270 inches and the length in real life is 120 yards.
So, we can write the proportion as:
270 inches / 120 yards = 9 inches / y yards
Cross-multiplying, we get:
270 inches * y yards = 9 inches * 120 yards
270y = 1080
Dividing both sides by 270, we get:
y = 1080 / 270
y = 4
Therefore, the scale used by Stanley is 9 inches : 4 yards.