Question

A triangle with area 5cm2 is dilated with a scale factor of 3. What is the area of the image, in square centimeters

Answer 1

• 45 cm²

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Dilation results in similar figures.

Each side of the image is 3 times larger hence the area is 3*3 = 9 times larger since area is the product of two dimensions.

So the area of the image is:

• 5*9 = 45 cm²