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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
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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kropot72
 one year ago
Best ResponseYou've already chosen the best response.1The 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
 one year ago
Best ResponseYou've already chosen the best response.1@kristinalgarcia Are you there?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.1The area of the larger trapezoid is given by \[\large 181\times (\frac{26}{14})^{2}=you\ can\ calculate\]

kropot72
 one year ago
Best ResponseYou've already chosen the best response.1You need to redo the above calculation.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh so it's 624 then!

kropot72
 one year ago
Best ResponseYou've already chosen the best response.1Yes, you are correct.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much!!!
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