The base of a triangle with a height of 7 units is represented by the formula b=2/7A. The base of th

Discussion in 'Calculator Requests' started by math_celebrity, Oct 23, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The base of a triangle with a height of 7 units is represented by the formula b=2/7A. The base of the triangle is less than 10 units. Write and solve an inequality that represents the possible area A of the triangle

    We're given:
    b=2/7A

    We're also told that b is less than 10. So we have:
    2/7A < 10
    2A/7 < 10

    Cross multiply:
    2A < 7 * 10
    2A < 70

    Divide each side of the inequality by 2 to isolate A
    2A/2 < 70/2

    Cancel the 2's on the left side and we get:
    A < 35
     

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