The length of a rectangle is three ft more than the width. The area of the rectangle is 28 ft. Find the width of the rectangle.?

a.4 ft

b.3 ft

 c.-4 ft

 d.-3 ft

2 Answers

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  • David
    Lv 7
    4 weeks ago

    The width is 4 ft because 4*(4+3) = 28 square ft

  • 4 weeks ago

    length of a rectangle is three ft more than the width

    l = w + 3

    The area of the rectangle is 28 ft

    l * w = 28

    Substitute for l = w + 3

    (w + 3) * w = 28

    w² + 3w = 28

    Subtract 28 from both sides

    w² + 3w - 28 = 0

    Factor

    (w + 7)(w - 4) = 0

    w = {-7, 4}

    The width must be positive

    Width = 4 ft <––––– answer a

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