Question

Polygon ABCD has a perimeter of 40. Its dilation has a scale factor of 3. What would the perimeter be for the enlargement image of A'B'C'D'?

Answer 1

120

Explanation:

If the dilation has a scale factor of 3, it means that each side of the polygon ABCD increased to 3 times the original length.

So, if the perimeter is the sum of the sides, we have:

`P = AB + BC + CD + DA = 40`

`P' = 3AB + 3BC + 3CD + 3DA`

`P' = 3(AB + BC + CD + DA)`

`P' = 3P = 120`

So the perimeter is also 3 times higher, with a length of 120.