A triangle with an area of 8 in^2 is dilated by a factor of 3.The area of the dilated triangle is ____ in^2.

Question

asked Nov 14, 2023 126k views

1 Answer

Amit Bhavsar · Answer 1 · 2023-11-19T20:45:29+0000

Let x be the area of the dilated triangle

The ratio of the area of the image to the area of the pre-image is equal to the square of the scale factor

Let k be the scale factor

$\frac{\operatorname{Im}age\text{ area}}{\text{Pre image area}}=k^2$

From the question, k = 3 and pre image area = 8

substitute into the formula and evaluate

Multiply both-side by 8

Hence, the area of the dilated triangle is 72 in²