math

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A rectangle has area 6 cm (squared) and diagonal of length 2√5 cm. What is its perimeter?

thanks

  • math -

    let the width be x and the length be y

    we know xy = 6 and
    x^2 + y^2 = (2√5)^2 = 20

    Perimeter = 2(x+y)

    from algebra we know
    (x+y)^2 = x^ + 2xy + y^2
    but we know the values on the right side,
    so
    (x+y)^2 = 20 + 6 = 26
    then x+y = √26
    and the perimeter is 2√26

  • math -

    let the width be x and the length be y

    we know xy = 6 and
    x^2 + y^2 = (2ã5)^2 = 20

    Perimeter = 2(x+y)

    from algebra we know
    (x+y)^2 = x^ + 2xy + y^2
    but we know the values on the right side,
    so
    (x+y)^2 = 20 +12=32
    then x+y = ã32
    and the perimeter is 2ã32

  • math -

    Why is math so hard?

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