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Math Help - Applications of Algebra

  1. #1
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    Apr 2010
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    Applications of Algebra

    I have three problems and I really dnt want to post those problems back to back. Any help will be grateful.

    1. The length of a rectangular plot of land is 4 times the width. If the perimeter is 2,000 feet, find the dimensions of the plot.
    2. The plans for a rectangular deck call for the width to be 10 feet less than the length. Sam wants the deck to have an overall perimeter of 64 feet. What should the length of the deck be?
    3. Sarah and Michelle have 20 feet of shelf space in their dorm room. Sarah has tons of stuff, and insists that she needs twice as much shelf space as Michelle. If she gets her wish, how much shelf space will Michelle be stuck with?
    Any help will be grateful. Thank you very much.
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  2. #2
    Banned
    Joined
    Oct 2009
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    769

    A start

    I'll do the first question.

    The problem says that the length is 4 times the width. Let x be the size of the width for one of the two sides, that means that the length is 4x. Keep in mind that you have two sides for the width and two for the length. From this point just add the two widths and the two lengths which equals 2,000 and solve for x which will give you your answer.

    Similar reasoning applies to the other problems.
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