Question

A triangle with an area of 3 mm² is dilated by a factor of 6.

What is the area of the dilated triangle?


9 mm²

12 mm²

18 mm²

108 mm²

Answer 1

did you find out the answer

Answer 2

Given that area of the triangle = 3 mm²

Factor of dilation = 6

Now question says to find the area of new triangle obtained after dilation.

We know that the area of a figure that is dilated by a factor x is x² times the original area.

So required area will be 6² times the original area.

$New \;area = 6^2 * 3 \; mm^2$

$New \;area = 36 * 3 \; mm^2$

$New \;area = 108 \; mm^2$

Hence final answer is 108 mm².