Scale Drawings and Similar Figures

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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)
  • 24
  • 36
  • 72

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 (B)</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 (C)</p> Signup and view all the answers

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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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