Lillian drew a scale drawing of a county park. The scale she used was 1 inch : 4 yards. The picnic area is 80 yards wide in real life. How wide is the picnic area in the drawing?
inches
To find the width of the picnic area in the drawing, we can set up a proportion using the scale. The ratio of the width in the drawing to the width in real life is 1 inch : 4 yards.
Let x be the width of the picnic area in the drawing in inches.
Then, we have the proportion: x/80 yards = 1 inch/4 yards.
To solve for x, we can cross multiply:
80 yards * 1 inch = x * 4 yards.
Simplifying the right side:
80 inches = 4x.
Dividing both sides by 4:
20 inches = x.
Therefore, the width of the picnic area in the drawing is 20 inches.