Respuesta :

The new perimeter after a dilation with a scale factor 3/4 is 21 units

What is perimeter?

The perimeter of a shape is the sum of its side lengths

The perimeter of the shape is given as:

[tex]P = 28[/tex]

The scale factor is given as:

[tex]k = 3/4[/tex]

The perimeter after the shape is dilated is calculated using:

[tex]P' = P * k[/tex]

So, we have:

[tex]P' = 28 * 3/4[/tex]

[tex]P' = 21[/tex]

Hence, the new perimeter is 21 units

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