Answer :
The areas of the image are 160, 22.5 and 10 square units
The area of the polygon is given as:
A =10 square unit
The area of the image of the polygon is calculated as:
[tex]A_k = A * k^2[/tex]
When k = 4, we have:
[tex]A_4 = 10 * 4^2[/tex]
[tex]A_4 = 160[/tex]
When k = 1.5, we have:
[tex]A_{1.5} = 10 * 1.5^2[/tex]
[tex]A_{1.5} = 22.5[/tex]
When k = 1, we have:
[tex]A_{1} = 10 * 1^2[/tex]
[tex]A_{1} =10[/tex]
Hence, the areas of the image are 160, 22.5 and 10 square units
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