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Polygon F has an area of 36 square units. Aimar drew a scaled version of Polygon F and labeled it Polygon G. Polygon G has an area of 4 square units. What scale factor did Aimar use to go from Polygon F to Polygon G ?

Polygon F F has an area of 3636 square units. Aimar drew a scaled version of Polygon F F and labeled it Polygon G G . Polygon G G has an area of 44 square units.\newlineWhat scale factor did Aimar use to go from Polygon F F to Polygon G G ?

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Q. Polygon F F has an area of 3636 square units. Aimar drew a scaled version of Polygon F F and labeled it Polygon G G . Polygon G G has an area of 44 square units.\newlineWhat scale factor did Aimar use to go from Polygon F F to Polygon G G ?
  1. Compare Areas: To find the scale factor, we need to compare the areas of the two polygons. We know that when scaling figures, the ratio of the areas is the square of the scale factor.\newlineArea of Polygon F = 3636 square units\newlineArea of Polygon G = 44 square units\newlineScale factor (squared) = Area of Polygon G / Area of Polygon F
  2. Calculate Scale Factor: Now we perform the calculation using the areas given.\newlineScale factor (squared) = 436\frac{4}{36}\newlineScale factor (squared) = 19\frac{1}{9}\newlineTo find the scale factor, we need to take the square root of both sides.\newlineScale factor = 19\sqrt{\frac{1}{9}}
  3. Find Square Root: Calculating the square root of 19\frac{1}{9} gives us the scale factor.\newlineScale factor = 1/9\sqrt{1} / \sqrt{9}\newlineScale factor = 13\frac{1}{3}\newlineThis means that Aimar used a scale factor of 13\frac{1}{3} to go from Polygon F to Polygon G.

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