Polygon B is a scaled copy of Polygon A using a scale factor of 5. How many times larger is the area of Polygon B than the area Polygon A?

we know that

[Area of Polygon B]=[scale factor]²*[Area of Polygon A]
[scale factor]=5
so

[Area of Polygon B]=[5]²*[Area of Polygon A]

[Area of Polygon B]=[25]*[Area of Polygon A]

the answer is
the area of Polygon B than the area Polygon A is 25 times larger

Answer Link

hannahyang025 hannahyang025 · Answer 2 · 2020-06-02T20:30:28+02:00

Answer:

25 times larger

Step-by-step explanation:

The scale factor is 5, so each side length of the polygon was multiplied by 5.

Key Idea

If the length of a figure scales by x, then area of the figure scales by [tex]x^{2}[/tex]

The Polygon B is created with a scale factor of 5. So, the area of Polygon B scales by [tex]5^{2}[/tex]

[tex]5^{2} = 5[/tex] × [tex]5=25[/tex]

The area of Polygon B is 25 times larger than the area of Polygon A

That explanation was from Khan Academy. Good luck on your learning!