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

Answer 1

The width of the soccer field in Javier's scale drawing is 14 inches, calculated by applying the scale factor of 2 inches : 9 yards to the actual width of 63 yards.

Step-by-step explanation:

To find the width of the field in the drawing, we need to apply the scale factor from the actual size to the scale size.

In this case, the scale of the drawing is 2 inches : 9 yards.

We can set up a ratio to find the width in the drawing. The actual width of the soccer field is 63 yards, so we'll use the following steps:

1. Set up the proportion based on the scale: (2 inches / 9 yards) = (drawing width in inches / 63 yards).
2. Cross-multiply to solve for the drawing width: (2 inches × 63 yards) = (drawing width in inches × 9 yards).
3. Now, simplify and solve the equation: drawing width in inches = (2 × 63) / 9.
4. Calculate the result: drawing width in inches = 126 / 9.
5. Therefore, the width of the field in the drawing is 14 inches.