Polygon B is a scaled copy of Polygon A using a scale factor of 5 . How many times as large is the area of Polygon B compared to the area Polygon A ?

Understand Scale Factor Relationship: Understand the relationship between the scale factor and the area of similar polygons. When a polygon is scaled by a factor, the area of the polygon is scaled by the square of that factor. Since Polygon B is a scaled copy of Polygon A using a scale factor of 5, we need to square the scale factor to find out how many times larger the area of Polygon B is compared to Polygon A.Calculate Scale Factor Square: Calculate the square of the scale factor. The scale factor is 5, so we square it to find the factor by which the area increases. Area scale factor = 5^2 = 25Conclude Area Relationship: Conclude the relationship between the areas of Polygon A and Polygon B. The area of Polygon B is 25 times as large as the area of Polygon A.

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Polygon
B is a scaled copy of Polygon
A using a scale factor of 5 .
How many times as large is the area of Polygon
B compared to the area Polygon
A ?

Polygon $B$ is a scaled copy of Polygon $A$ using a scale factor of $5$ . $\newline$ How many times as large is the area of Polygon $B$ compared to the area Polygon $A$ ?

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Q. Polygon

B

is a scaled copy of Polygon

A

using a scale factor of

5

\newline

How many times as large is the area of Polygon

B

compared to the area Polygon

A

Understand Scale Factor Relationship: Understand the relationship between the scale factor and the area of similar polygons. $\newline$ When a polygon is scaled by a factor, the area of the polygon is scaled by the square of that factor. Since Polygon B is a scaled copy of Polygon A using a scale factor of $5$ , we need to square the scale factor to find out how many times larger the area of Polygon B is compared to Polygon A.
Calculate Scale Factor Square: Calculate the square of the scale factor. $\newline$ The scale factor is $5$ , so we square it to find the factor by which the area increases. $\newline$ Area scale factor = $5^2 = 25$
Conclude Area Relationship: Conclude the relationship between the areas of Polygon A and Polygon B. $\newline$ The area of Polygon B is $25$ times as large as the area of Polygon A.