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A polygon with area 10 square units is dilated by a scale factor of k. Find the area of the image for each value of k.
a k=4
square units
b. k=1.5
square units
ck=1
square units

Sagot :

Answer:

a = 160 square units

Step-by-step explanation:

MrRoyal

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

Read more about dilation at:

https://brainly.com/question/3457976

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