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(2) A trapezoid has an area of 100 square units. What scale factor would be required to dilate the trapezoid to have each area? PART A 6400 square units ◻ PART B 900 square units ◻ PART C 100 square units ◻ PART D 25 square units ◻ PART E 4 square units

(22) A trapezoid has an area of 100100 square units. What scale factor would be required to dilate the trapezoid to have each area?\newlinePART A\newline64006400 square units\newline□ \square \newlinePART B 900900 square units\newline□ \square \newlinePART C 100100 square units\newline□ \square \newlinePART D 2525 square units\newline□ \square \newlinePART E 44 square units

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Q. (22) A trapezoid has an area of 100100 square units. What scale factor would be required to dilate the trapezoid to have each area?\newlinePART A\newline64006400 square units\newline□ \square \newlinePART B 900900 square units\newline□ \square \newlinePART C 100100 square units\newline□ \square \newlinePART D 2525 square units\newline□ \square \newlinePART E 44 square units
  1. Original Area: Original area of trapezoid = 100100 square units.
  2. PART A Scale Factor: PART A: New area = 64006400 square units. To find the scale factor, take the square root of the ratio of the new area to the original area.\newlineScale factor for PART A = 6400/100=64=8\sqrt{6400 / 100} = \sqrt{64} = 8.
  3. PART B Scale Factor: PART B: New area = 900900 square units. Scale factor for PART B = 900/100=9=3\sqrt{900 / 100} = \sqrt{9} = 3.
  4. PART C Scale Factor: PART C: New area = 100100 square units. Scale factor for PART C = 100100=1=1\sqrt{\frac{100}{100}} = \sqrt{1} = 1.
  5. PART D Scale Factor: PART D: New area = 2525 square units. Scale factor for PART D = 25100=0.25=0.5\sqrt{\frac{25}{100}} = \sqrt{0.25} = 0.5.
  6. PART E Scale Factor: PART E: New area = 44 square units. Scale factor for PART E = 4100=0.04=0.2\sqrt{\frac{4}{100}} = \sqrt{0.04} = 0.2.

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