Atriangle with an area of 2/3 cm² 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.

By the word "dilation" we mean to say that the dimension of the new triangle is 6 times longer than the dimensions of the former triangle. The ratio between the area of the new triangle and the old one is equal to the square of the ratio of their sides. If we let x be the area of the larger triangle then,
                    (x / 2/3 cm²) = (6/1)²
The value of x from the equation is 24. Thus, the area of the larger triangle is equal to 24 cm².

8-2x+3x2=6 and six is your answer