Answer:
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:
[tex]\frac{RST}{XYZ}:\frac{1}{2}[/tex]
Those are the one-to-one measures. If we are looking for areas, then we take those one-to-one values and square them:
[tex]\frac{RST}{XYZ}:\frac{1^{2} }{2^{2} } =\frac{1}{4}[/tex]
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:
[tex]\frac{RST}{XYZ}:\frac{1}{4}=\frac{10.825}{x}[/tex]
Cross multiply to get that x = 43.3 square inches.
There you go!
