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