Rst and xyz are equilateral triangles. the ratio of the perimeter of rst to the perimeter of xyz is 1 to 2. the area of rst is 10.825 square inches. what is the area of xyz

43.3 square inches

Step-by-step explanation:

If the ratio of RST to XYZ is 1:2, then in ratio form that will look like this:

Those are the one-to-one measures.  If we are looking for areas, then we take those one-to-one values and square them:

We are told that the area of RST in 10.825 so we fill that in, leaving x in place of the area of XYZ since that is what we are solving for:

Cross multiply to get that x = 43.3 square inches.

There you go!

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