Question

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?

Answer 1

25 times larger

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
`x^(2)`

The Polygon B is created with a scale factor of 5. So, the area of Polygon B scales by
`5^(2)`

`5^(2) = 5` ×
`5=25`

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!

Answer 2

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