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Flapdragon

  • 2 years ago

There are two similar trapezoids. The smaller one has one base of 24 meters and an area of 564 meters squared. The larger one has one base of 57 meters. What is the area of the larger one?

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  1. NotSObright
    • 2 years ago
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    Is the sides with given lengths corressponding

  2. Flapdragon
    • 2 years ago
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    Yep, they are.

  3. dumbcow
    • 2 years ago
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    ratio of areas = (ratio of sides)^2

  4. dumbcow
    • 2 years ago
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    \[\frac{57^{2}}{24^{2}} = \frac{A}{564}\]

  5. NotSObright
    • 2 years ago
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    @dumbcow is right

  6. Flapdragon
    • 2 years ago
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    Thanks! :D I was wondering how the ratios of the sides and the ratio of the areas were related, so that helps a lot.

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