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anonymous

  • one year ago

The two figures are similar. The area of the smaller trapezoid is 181. What is the area of the bigger trapezoid? The ratio of the smaller trapezoid to the bigger trapezoid is 14:26. a) 7 b) 676 c) 624 d)196

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  1. misssunshinexxoxo
    • one year ago
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    Any graph?

  2. kropot72
    • one year ago
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    The area of a trapezoid is given by \[\large Area=\frac{1}{2}h(a+b)\] where the altitude is h and the parallel sides are a and b. Let the scale factor 14 : 26 be represented by s. Then the area of the larger trapezoid will be \[\large Area _{\lg}=\frac{1}{2}hs(as+bs)=\frac{1}{2}hs^{2}(a+b)\] Now can you see that the area of the larger trapezoid is found by multiplying the are of the smaller by \[\large (\frac{26}{14})^{2}\]

  3. kropot72
    • one year ago
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    @kristinalgarcia Are you there?

  4. anonymous
    • one year ago
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    so it's 676?

  5. kropot72
    • one year ago
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    The area of the larger trapezoid is given by \[\large 181\times (\frac{26}{14})^{2}=you\ can\ calculate\]

  6. kropot72
    • one year ago
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    You need to redo the above calculation.

  7. anonymous
    • one year ago
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    oh so it's 624 then!

  8. kropot72
    • one year ago
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    Yes, you are correct.

  9. anonymous
    • one year ago
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    Thank you so much!!!

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