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5 March, 22:51

David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?

2x2 + 14x - 2 = 0

3x2 + 10x - 8 = 0

4x2 + 10x - 2 = 0

x2 + 7x - 8 = 0

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  1. 5 March, 23:36
    0
    The correct quadratic equation;

    x2+7x-2=0

    Working

    Assuming the frame has a uniform thickness;

    Then length of mirror and frame is 3+x and width 2+x

    The area of mirror and frame area;

    A=L*W

    8 = (3+x) (2+x)

    8 = (6+5x+x2)

    Taking 8 to the Right hand side, we have:

    x2+5x-2 = 0
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