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Polygon Y is a scaled copy of polygon X using a scale factor of 1/3. Polygon Ys area is what fraction of polygons Xs area?

Sagot :

Answer:

The answer is "[tex]\bold{\frac{1}{9}}[/tex]"

Step-by-step explanation:

In this question, when two figures are similar so, the ratio from its size is equal to the squared factor that are:

Scaling factor= Z

Area of Polygon Y=a

Area of Polygon X=b

[tex]z=\frac{1}{3}\\\\using \ substitution:\\\\(\frac{1}{3})^2=\frac{a}{b}\\\\\frac{1}{9}=\frac{a}{b}\\\\a=\frac{1}{9}b[/tex]

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