Final answer:
To convert the width from the scale drawing to the actual garden's width, we set up a proportion using the given scale. Solving this proportion, we find that the actual width of the garden is 13.5 yards.
Step-by-step explanation:
The question asks us to convert measurements of a scale drawing to the actual sizes for a rectangular garden. To find the width of the actual garden in yards, we need to use the scale provided. The scale is that 2 inches on the drawing represents 3 yards of the actual garden.
Following the scale, if 2 inches equals 3 yards, then to find how many yards are represented by the 9-inch width on the drawing, we can set up a proportion:
2 inches / 3 yards = 9 inches / Width in Yards
To solve for the Width in Yards, we multiply both sides of the equation by the Width in Yards and then divide both sides by 2 inches:
3 yards / 2 inches = Width in Yards / 9 inches
Width in Yards = (3 yards / 2 inches) × 9 inches
Width in Yards = (3 * 9) / 2 yards
Width in Yards = 27 / 2 yards
Width in Yards = 13.5 yards
Hence, the actual width of the garden is 13.5 yards.