The diagram shows a scale drawing of a lacrosse field. The diagram is 5 1/2 inches long and 3 inches wide. If 1 inch represents 20 yards, what is the area of the field?

1. Convert the dimensions from inches to yards using the scale (1 inch = 20 yards):
   • Length: \(5.5\) inches \(\times 20\) yards/inch = \(110\) yards
   • Width: \(3\) inches \(\times 20\) yards/inch = \(60\) yards
2. Calculate the area of the field:
   • Area = Length \(\times \) Width
   • Area = \(110\) yards \(\times 60\) yards = \(6600\) square yards

Supplemental Knowledge

Working with scale drawings requires knowing how to convert measurements from their drawings to actual dimensions in real life. A scale provides a ratio that allows you to translate dimensions from drawings into actual sizes in life.
Example: If 1 inch on your drawing represents 20 yards in real life, use this ratio to accurately assess any part of the drawing and find its size in actual measurements.
To calculate the area of a rectangle (which is what a lacrosse field typically is), you use the formula:
\[\text { Area} = \text { Length} \times \text { Width} \]
In this case, you'll need to convert both the length and width from inches (in the drawing) to yards (in real life) using the given scale.

From Concepts to Reality

Understanding scale drawings is invaluable when working in fields like architecture, engineering and event planning. When architects design buildings they often provide scaled down versions for construction teams to follow more accurately. Understanding these scales helps these teams work to specifications more precisely than before.
Are You Planning an Outdoor Event and Requiring Tent Setup Services? Use a Scaled Map of Your Field as a Reference! Scaled maps help event organizers quickly determine how many tents will fit on a field without physically measuring and placing each of them individually, saving both time and space! This ensures efficient utilization.

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