anonymous
  • anonymous
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
Geometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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misssunshinexxoxo
  • misssunshinexxoxo
Any graph?
kropot72
  • kropot72
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 \[\large (\frac{26}{14})^{2}\]
kropot72
  • kropot72
@kristinalgarcia Are you there?

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anonymous
  • anonymous
so it's 676?
kropot72
  • kropot72
The area of the larger trapezoid is given by \[\large 181\times (\frac{26}{14})^{2}=you\ can\ calculate\]
kropot72
  • kropot72
You need to redo the above calculation.
anonymous
  • anonymous
oh so it's 624 then!
kropot72
  • kropot72
Yes, you are correct.
anonymous
  • anonymous
Thank you so much!!!

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