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a rectangle with area 12 square units is dilated by a scale factor of k find the area of the image for each given value of k​

Sagot :

When the rectangle is dilated, the new and the old rectangles will have a different area

The area of the image of the rectangle is 12k^2

How to determine the area of the image

The area of the rectangle is given as:

A = 12

The scale of dilation is given as k.

So, the area of the image of the dilation is:

[tex]A_2 = A * k^2[/tex]

This gives

[tex]A_2 = 12 * k^2[/tex]

Evaluate the product

[tex]A_2 = 12k^2[/tex]

Hence, the area of the image of the rectangle is 12k^2

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