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Sagot :
Answer:
- 27x³ + 27x² - 4 meters²
Explanation:
To find the area of the triangle, we must multiply 1/2 x base x altitude to get the answer. But first, we need to simplify the height. We are given the base and the altitude.
- Base = 6x - 2
- Height = (3x + 2)²
Solution:
- Area of triangle = 1/2 x (6x - 2) x (3x + 2)²
- => Area of triangle = 1/2 x (6x - 2) x (3x + 2)(3x + 2)
- => Area of triangle = 1/2 x (6x - 2) x (3x + 2)(3x + 2)
- => Area of triangle = 1/2 x (6x - 2) x (9x² + 6x + 6x + 4)
- => Area of triangle = 1/2 x (6x - 2) x (9x² + 12x + 4)
- => Area of triangle = 1/2 x (54x³ - 18x² + 72x² - 24x + 24x - 8)
- => Area of triangle = 1/2 x (54x³ + 54x² - 8)
- => Area of triangle = (54x³/2 + 54x²/2 - 8/2)
- => Area of triangle = 27x³ + 27x² - 4 meters²
Hence, the area of the triangle is 27x³ + 27x² - 4 meters².
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