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    Question

    Calculate the area of the triangle enclosed by the line

    3x+6y=18, the x-axis, and the y-axis.
    A 15 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 9 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Given equation is 3x+6y=18

    For y=0, we get 3x=18

    Image

    So, the triangle formed has a base of 6 units (x-intercept) and a height of 3 units (y-intercept)

    So, area of the triangle = (1/2) × 6 × 3 = 9 square units

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