This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 34. What is the surface area of the image after the dilation?

Answer to chose from: 18558 m² 21938 m² 24712 m² 29212 m²

Respuesta :

When the prism is dilated, the size of the prism changes

Using the assumed value, the surface area of the image of the prism is 18558

How to determine the surface area after dilation?

The question is incomplete, as the pre-image of the prism is not given.

However, the surface area of the image is calculated as:

[tex]A_2 = A_1 * k^2[/tex]

Where:

A1 represents the surface area of the pre-image

A2 represents the surface area of the image

k represents the scale factor

So, we have:

[tex]A_2 = A_1 * (\frac 34)^2[/tex]

Assume the area of the pre-image is 32992, the area of the pre-image would be:

[tex]A_2 = 32992 * (\frac 34)^2[/tex]

[tex]A_2 = 18558[/tex]

Using the assumed value, the surface area of the image of the prism is 18558

Read more about dilation at:

https://brainly.com/question/3457976

Answer: the anser wasnt correct above me

Step-by-step explanation:

this is the correct answer

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