Question

PLEASE HELP!!!!!!!! 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? SOS <3

Answer 1

The number of times the the area of Polygon B is greater than the area Polygon A is 25

How many times larger is the area of Polygon B than the area Polygon A?

From the question, we have the following parameters that can be used in our computation:

• Polygon B is a scaled copy of Polygon A
• Scale factor of 5

Represente the scale factor as

k = 5

So, the number (n) of times the the area of Polygon B is greater than the area Polygon A is

n = k²

This gives

n = 5²

Evaluate

n = 25

Hence, the number of time is 25

Answer 2

The correct answer is polygon B is
`5^(n)` times polygon A, where n is the number of sides of the polygon.

Explanation:

Polygon A and Polygon B belongs to the same family of polygon, say of n sides.

Polygon B is a scaled copy of the other by a factor of 5.

The area of polygon B would be scaled by the factor of 5, n times as compared to the area of polygon A.

Therefore area of Polygon B is
`5^(n)` times the area of the polygon A.