UpStudy Free Solution:

To find the area of the sports field, we need to first convert the dimensions from inches to yards using the given scale, and then calculate the area in square yards.

1. Convert the dimensions to yards:

- Length: \(5 \frac { 1} { 2} \) inches = \(5.5\) inches.

- Width: \(3\) inches.

Using the scale of 1 inch = 20 yards:

- Length in yards: \(5.5\) inches \(\times 20\) yards/inch = \(110\) yards.

- Width in yards: \(3\) inches \(\times 20\) yards/inch = \(60\) yards.

2. Calculate the area in square yards:

- Area = Length \(\times \) Width

- Area = \(110\) yards \(\times 60\) yards = \(6600\) square yards.

Therefore, the area of the sports field is \(6600\) square yards.

The correct answer is:

6,600 square yards

Supplemental Knowledge

When working with scale drawings, it's important to understand how to convert measurements from the drawing to real-life dimensions using the given scale. The steps typically involve:

1. Determine the Scale Conversion: Identify how many real-life units each unit on the drawing represents.

2. Convert Dimensions: Multiply the dimensions of the drawing by the scale factor to get real-life dimensions.

3. Calculate Area: Use the converted dimensions to calculate the area in real-life units.

In this problem:

- The scale is \(1 \text { inch} = 20 \text { yards} \).

- The drawing's dimensions are \(5 \frac { 1} { 2} \text { inches} \) long and \(3 \text { inches} \) wide.

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