Question

the diagram shows a scale drawing of a sports field. the diagram is 5½ inches long and 3 inches wide. if 1 inch represents 20 yards, what is the area of the sports field? 6,000 square yards 6,600 square yards 1,650 square yards 3,300 square yards (diagram includes 1 in. = 20 yd)

Explanation:

Step1: Convert length from inches to yards

The diagram length is \( 5\frac{1}{2} \) inches, which is \( \frac{11}{2} \) inches. Since 1 inch = 20 yards, the actual length \( L = \frac{11}{2} \times 20 \) yards.
\( L=\frac{11\times20}{2}= 110 \) yards.

Step2: Convert width from inches to yards

The diagram width is 3 inches. So the actual width \( W = 3\times20 = 60 \) yards.

Step3: Calculate the area of the sports field

The area of a rectangle is \( A = L\times W \). Substituting \( L = 110 \) yards and \( W = 60 \) yards, we get \( A=110\times60 \).
\( A = 6600 \) square yards.

Answer:

6,600 square yards