## 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

Any graph?

2. 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 $\large (\frac{26}{14})^{2}$

3. kropot72

@kristinalgarcia Are you there?

4. anonymous

so it's 676?

5. kropot72

The area of the larger trapezoid is given by $\large 181\times (\frac{26}{14})^{2}=you\ can\ calculate$

6. kropot72

You need to redo the above calculation.

7. anonymous

oh so it's 624 then!

8. kropot72

Yes, you are correct.

9. anonymous

Thank you so much!!!