Algebra

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The length of a rectangle is 4 units more than its width. The area of the rectangle is 25 more than 4 times the width. What is the width of the rectangle?

  • Algebra -

    The wording is poor.
    Did you mean:
    " The numerical value of the area of the rectangle is 25 more than the numerical value of 4 times the width" ?

    if so, then ...

    width --- x
    length -- x+4

    x(x+4) = 4x + 25
    x^2 + 4x = 4x + 25
    x^2 = 25
    x = 5

    The width is 5 units
    (length is 9 units)

    check:
    area = 45
    is 45 greater than 4(5) by 25 ?
    yes it is

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