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x ≥ 0
y ≥ 0
3x + y ≤ k
In the figure above, the shaded region represents the solution set for the system of inequalities shown. If the area of this shaded region is 24 square units, what is the value of k?
    Correct answer is '12'. Can you explain this answer?
    Verified Answer
    x ≥ 0y ≥ 03x + y ≤ kIn the figure above, the shaded region re...
    The system of inequalities indicates that the line containing the hypotenuse of the triangle is given by the equation which has an x-intercept of (A, 0) and a y-intercept of (k/3, 0). This means that the

    triangle has a base of k/3 and a height of k. 
    The area of the triangle is 24: 
    Simplify: 
    Multiply by 6: k2 = 144
    Take the square root: k = 12 
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    x ≥ 0y ≥ 03x + y ≤ kIn the figure above, the shaded region represents the solution set for the system of inequalities shown. If the area of this shaded region is 24 square units, what is the value of k?Correct answer is '12'. Can you explain this answer?
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