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Polygon C has an area of 40 square units. Kennan drew a scaled version of Polygon C using a scale factor of (1)/(2) and labeled it Polygon D. What is the area of Polygon D? ◻ square units

Polygon CC has an area of 4040 square units. Kennan drew a scaled version of Polygon CC using a scale factor of 12\frac{1}{2} and labeled it Polygon DD. \newlineWhat is the area of Polygon DD ?\newline□\square square units

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Full solution

Q. Polygon CC has an area of 4040 square units. Kennan drew a scaled version of Polygon CC using a scale factor of 12\frac{1}{2} and labeled it Polygon DD. \newlineWhat is the area of Polygon DD ?\newline□\square square units
  1. Area Calculation for Polygon D: Polygon C has an area of 4040 square units. The scale factor for Polygon D is 12\frac{1}{2}.
  2. Square Scale Factor: To find the area of Polygon DD, we square the scale factor and multiply it by the area of Polygon CC.
  3. Area Calculation for Polygon D: So, (12)2×40=(14)×40(\frac{1}{2})^2 \times 40 = (\frac{1}{4}) \times 40.
  4. Final Result: Calculating that gives us 1010 square units.

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