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Math Help - rectangle area problem

  1. #1
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    rectangle area problem

    a rectangle is 2 metres longer than it is wide. If each side gets increased by 2 metres, then the area increases by 16 square metres. find the dimension of the rectangle?

    so A = Height \cdot Width

    A = (x+2)x

    16^2 = (x+4)(x+2)

    is this the appropriate calculations to be done? how should i go about it for the rest . any help?
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  2. #2
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    Quote Originally Posted by jvignacio View Post
    a rectangle is 2 metres longer than it is wide. If each side gets increased by 2 metres, then the area increases by 16 square metres. find the dimension of the rectangle?

    so A = Height \cdot Width

    A = (x+2)x

    16^2 = (x+4)(x+2)

    is this the appropriate calculations to be done? how should i go about it for the rest . any help?
    Your question doesn't state that the area is 16 mē but that the area increases by 16 mē.

    Therefore the equation should be:

    A+16 = (x+4)(x+2) ........ Remark: The 16 isn't squared, only the dimension of this value is mē

    Now plug in the term for A:

    (x+2)x + 16 = (x+4)(x+2)

    Expand the brackets, collect like terms, ... in short: Solve for x.

    I've got x = 2
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  3. #3
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    Quote Originally Posted by earboth View Post
    Your question doesn't state that the area is 16 mē but that the area increases by 16 mē.

    Therefore the equation should be:

    A+16 = (x+4)(x+2) ........ Remark: The 16 isn't squared, only the dimension of this value is mē

    Now plug in the term for A:

    (x+2)x + 16 = (x+4)(x+2)

    Expand the brackets, collect like terms, ... in short: Solve for x.

    I've got x = 2
    cheers mate now i understand
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  4. #4
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    Quote Originally Posted by earboth View Post
    Your question doesn't state that the area is 16 mē but that the area increases by 16 mē.

    Therefore the equation should be:

    A+16 = (x+4)(x+2) ........ Remark: The 16 isn't squared, only the dimension of this value is mē

    Now plug in the term for A:

    (x+2)x + 16 = (x+4)(x+2)

    Expand the brackets, collect like terms, ... in short: Solve for x.

    I've got x = 2
    ive got x = 2 and 6 ?
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  5. #5
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    Quote Originally Posted by jvignacio View Post
    ive got x = 2 and 6 ?
    Well, this is the abbreviated version of the sentence:

    The original rectangle has a width of 2 and a length of 4 while the greater rectangle has a width of 4 and a length of 6.

    I hope that you meant this
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