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Math Help - Perimeter of a rectangle

  1. #1
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    Perimeter of a rectangle

    Hello all. My first post here and I hope you will be able to help me out. I am an undergrad student. I have only a few classes left and will be graduating with honors, providing I don't fully drop the ball in math. I have to take two math classes, college mathematics 1 and 2. Once these classes are done, I am all but finished.

    I use several tutoring tools and use the examples and tutorials given, but I am having a hard time associating some questions with the examples I've practiced.

    Here is one set of problems I am working on. Any help would be appreciated. Thank you in advance.

    Perimeter of a rectangle. A rectangle has a fixed width and a variable length. Let P represent the perimeter and L represent the length. P=28 inches when L=6.5 inches and P=36 inches when L=10.5 inches. There is a linear equation that expresses P in terms of L.
    a) Find the equation.
    b) What is the perimeter when L=40 inches?
    c) What is the length when P=215 inches?
    d) What is the width of the rectangle?
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  2. #2
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    If I am understanding correctly, would the formula to answer 'a' be:

    Perimeter = 2(side a)+2(side b)

    Then I can plug in:
    28=2(6.5)+2(x)

    and

    36=2(10.5)+2(x)

    Does this look like I am on the correct track, please?
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  3. #3
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    This is what I have come up with. Please let me know if I am on the right track in understanding this.

    Thanks.

    90. Perimeter of a rectangle. A rectangle has a fixed width and a variable length. Let P represent the perimeter and L represent the length. P=28 inches when L=6.5 inches and P=36 inches when L=10.5 inches. There is a linear equation that expresses P in terms of L.
    a) Find the equation.
    Answer: P=2(side a)+2(side b)
    b) What is the perimeter when L=40 inches?
    Fixed width (W) = 7.5
    Answer: P=2(40)+2(7.5). P=95 inches
    c) What is the length when P=215 inches?
    215=2(x)+2(7.5)
    Answer: x=100 or Length is 100 inches
    d) What is the width of the rectangle?
    Answer: Based on the initial information, the width (W) is 7.5 inches.
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