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Answer:

1/16

Step-by-step explanation:

if you take 4 *16 it equals 64. You multiply the 4 by 1/4 and 16 by 1/4 and you get 1 and 4 as side lengths, you divided 64 by 4 and you get 16. Therefore your answer is 1/16.

The polygon H's area is 1/16 of the polygon G's area if the polygon H is a scaled copy of Polygon G using a scale factor of 1/4.

What is a regular polygon?

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have a polygon H is a scaled copy of Polygon G using a scale factor of 1/4.

As we know, when you scale down a polygon, you are reducing the length of all sides by 1/4. The area of each polygon is calculated by multiplying two lengths.

Mathematically,

Scale of area = scale of length × scale of length

Scale of area = (1/4)×(1/4) = 1/16

Thus, the polygon H's area is 1/16 of the polygon G's area if the polygon H is a scaled copy of Polygon G using a scale factor of 1/4.

Learn more about the regular polygon here:

brainly.com/question/11810316

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