## anonymous 4 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?

1. anonymous

Is the sides with given lengths corressponding

2. anonymous

Yep, they are.

3. anonymous

ratio of areas = (ratio of sides)^2

4. anonymous

$\frac{57^{2}}{24^{2}} = \frac{A}{564}$

5. anonymous

@dumbcow is right

6. anonymous

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