Atriangle 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

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.

Hence final answer is 108 mm².

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629