To calculate the dimensions of a triangle using the given scale where 1 inch equals 8 yards, you first need to convert the actual dimensions from yards to inches.
Given:
- Actual dimensions: 20 yards by 15 yards
- Scale: 1 inch = 8 yards
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Convert the actual dimensions from yards to inches:
- For 20 yards: \[ 20 \text{ yards} \times \frac{1 \text{ inch}}{8 \text{ yards}} = \frac{20}{8} \text{ inches} = 2.5 \text{ inches} \]
- For 15 yards: \[ 15 \text{ yards} \times \frac{1 \text{ inch}}{8 \text{ yards}} = \frac{15}{8} \text{ inches} = 1.875 \text{ inches} \]
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Now, the dimensions of the triangle in inches are:
- Base = 2.5 inches
- Height = 1.875 inches
Thus, the scaled dimensions of the triangle are 2.5 inches by 1.875 inches.