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Polygon C has an area of 40 square units. Kennan drew a scaled version of Polygon C using a scale factor of \dfrac12 2 1 ​ start fraction, 1, divided by, 2, end fraction and labeled it Polygon D.

Sagot :

Answer:

The answer is "[tex]10 \ units^2[/tex]"

Step-by-step explanation:

Given:

[tex]C= \frac{1}{2}\\\\A_C= 40\\\\A_D= ?\\[/tex]

The factor of scale (c) is the ratio of the two polygons, and the area ratio is the scale factor square.

Formula:

[tex]\frac{A_D}{A_C} =C^2[/tex]

[tex]A_D = \frac{40}{4}\\\\A_D= 10[/tex]

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