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Ratios of Areas

11.7

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Learning Target & Do Now

LT: Today I will be able to solve problems involving the areas of similar figures.

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DN: At right.

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Computing Ratios of Areas

  • The most straightforward way to find the ratios of areas is to compute the areas
  • The quotient of the areas is the ratio

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Find the ratio of the parallelogram’s�area to the triangle’s.

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Similar Figures

  • Given △XWY ~ △QPR, find the ratios of their areas

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Theorem 109

109: If two figures are similar, then the ratio of their areas is equal to the square of the ratios of corresponding segments.

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You Do

If the ratio of the areas of two parallelograms is 49:121, find the ratios of the sides.

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Segment AM is a median of △ABC. Find the ratios of the sides.