Atriangle with an area of 2/3 cm? is dilated by a factor of 6. what is the area of the dilated triangle? enter your answer in the box. do not leave your answer as a fraction.

Let A be the area of the dilated triangle.

Given the statement: A triangle with an area of 2/3 cm2 is dilated by a factor of 6.

⇒ Pre-image triangle has an area  =

Scale factor(k) states that the dimension of the Dilated-image is 6 times longer than the dimensions of the pre-image.

i.e,

Substitute the given values to find the value of area of dilated triangle.

or

Multiply both sides by 2 we get;

Divide both sides by 3 we get;

Therefore, the area of the dilated triangle is,