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?

Question

anonymous · Answer

Is the sides with given lengths corressponding

anonymous · Answer

Yep, they are.

dumbcow · Answer

ratio of areas = (ratio of sides)^2

dumbcow · Answer

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

anonymous · Answer

@dumbcow is right

anonymous · Answer

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