The value of the scale factor k, is 1.5
The perimeter of a shape is the sum of the side lengths of the shape
The dimensions of the triangle MNO are given as:
[tex]MN = 5[/tex]
[tex]NO = 4[/tex]
[tex]OM = 2.5[/tex]
Calculate the perimeter of the triangle as follows:
[tex]MNO=5 + 4 +2.5[/tex]
[tex]MNO=11.5[/tex]
Divide 17.25 by 11.5 to calculate the scale factor (k)
[tex]k = \frac{17.25}{11.5}[/tex]
[tex]k = 1.5[/tex]
Hence, the scale factor is 1.5
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