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Polygon B is a scaled copy of Polygon A using a scale factor of 5 . How many times as large is the area of Polygon B compared to the area Polygon A ?

Polygon B B is a scaled copy of Polygon A A using a scale factor of 55 .\newlineHow many times as large is the area of Polygon B B compared to the area Polygon A A ?

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Full solution

Q. Polygon B B is a scaled copy of Polygon A A using a scale factor of 55 .\newlineHow many times as large is the area of Polygon B B compared to the area Polygon A A ?
  1. Understand Scale Factor Relationship: Understand the relationship between the scale factor and the area of similar polygons.\newlineWhen a polygon is scaled by a factor, the area of the polygon is scaled by the square of that factor. Since Polygon B is a scaled copy of Polygon A using a scale factor of 55, we need to square the scale factor to find out how many times larger the area of Polygon B is compared to Polygon A.
  2. Calculate Scale Factor Square: Calculate the square of the scale factor.\newlineThe scale factor is 55, so we square it to find the factor by which the area increases.\newlineArea scale factor = 52=255^2 = 25
  3. Conclude Area Relationship: Conclude the relationship between the areas of Polygon A and Polygon B.\newlineThe area of Polygon B is 2525 times as large as the area of Polygon A.

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