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Area of the triangle formed by two given lines and the x-axis

The same question, asked 3 times: 15 Nov 2020 Tier II*, 29 Jan 2022 Tier II*, 3 Feb 2022 Tier II. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    15 Nov 2020 Tier II

    83
    The area (in sq. units) of the triangle formed by the graphs of 8x+3y=248x + 3y = 24, 2x+8=y2x + 8 = y and the xx-axis is:

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  2. Question 2

    29 Jan 2022 Tier II

    11
    What is the area (in unit squares) of the region enclosed by the graphs of the equations 2x−3y+6=02x - 3y + 6 = 0, 4x+y=164x + y = 16 and y=0y = 0?

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  3. Question 3

    3 Feb 2022 Tier II

    76
    What is the area (in unit squares) of the triangle enclosed by the graphs of 2x+5y=122x + 5y = 12, x+y=3x + y = 3 and the x-axis?

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