24. Find the area of the shaded region:
2 answers:
Answer:
A = 5x³ + 17x² - 35x - 30
Step-by-step explanation:
the shaded area (A) is calculated as
A = outer area - inner area
= (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis
= 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)
= 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms
= 5x³ + 17x² - 35x - 30
Answer:
5x^3+ 17x^2- 35x-30 Or x=-4.63 or 1.9
Step-by-step explanation:
Area of rectangle =L×B
for smaller rectangle :
after applying the formula, the equation becomes:
6x^2 - 3x
For bigger rectangle:
Applying the same formula, the equation becomes:
5x^3+ 23x^2- 38x- 30
Area of shaded region =
Area of bigger rectangle- Area of smaller rectangle
= 5x^3+17x^2 -35x-30
going further solving the above equation
Area of shaded region: -4.96 or 1.9
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