Two figures are similar. The corresponding side lengths are 12 ft to 15 ft. If the area of the larger figure is 100 square units, what is the area ratio and then find the area of the smaller figure.

Question

anonymous · Answer

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anonymous · Answer

what?

anonymous · Answer

could someone show me how you would set this problem up by drawing a picture or something to help me better understand? Thanks. I'll Medal

directrix · Answer

If two polygons are similar then the square of the scale factor is the ratio of the areas of the two polygons.

directrix · Answer

Here, the scale factor is 12 to 15 or 4/5.

The square of the scale factor is 16/25 which is the ratio of the areas.

directrix · Answer

You have an equation to solve.

directrix · Answer

16/25 = x/100 where x is the area of the smaller polygon.

directrix · Answer

Cross multiply and solve for x. Post what you get, okay?

directrix · Answer

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