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Questions and Answers

What is the length of the actual soccer field if the length of the drawing is 1 centimeter?

12 yards (correct)

6 yards

24 yards

36 yards

What is the area of the drawing of the soccer field in square centimeters?

54 (correct)

If the scale is 1 centimeter to 12 yards, what is the scale in square centimeters to square yards?

1:48

1:12

1:24

1:144 (correct)

What is the area of the actual soccer field in square yards?

<p>7,776</p> Signup and view all the answers

What is the ratio of the area of the actual soccer field to the area of the drawing?

<p>144:1</p> Signup and view all the answers

Study Notes

Soccer Field Dimensions

The drawing of the soccer field is 1 centimeter long.
The scale is 1 centimeter to 12 yards.
The area of the drawing is the length multiplied by the width. This is 1 centimeter multiplied by 1 centimeter which is 1 square centimeter.
The scale in square centimeters to square yards is 1 square centimeter to 144 square yards (12 yards multiplied by 12 yards).
To find the actual area of the soccer field, multiply the scale in square centimeters to square yards by the drawing's area — 1 square centimeter by 144 square yards = 144 square yards.
The ratio of the actual soccer field's area to the drawing's area is 144:1.

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Description

Solve a problem involving a scale drawing of a soccer field. If 1 centimeter in the drawing corresponds to 12 yards in the actual field, what is the area of the actual field? Apply your knowledge of scale drawings and similar figures to find the answer.