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Math Help - Please help me set up rational zero word prorblem. . .

  1. #1
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    Arrow Please help me set up rational zero word prorblem. . .

    Here is my word problem:

    SWIMMING POOL You are designing a rectangular swimming pool that is to be set into the ground. The width of the pool is 5 feet more than the depth, and the length is 35 feet more than the depth. The pool holds 2000 cubic feet of water. What are the dimensions of the pool?

    *Please help me to set up, I am having trouble even starting this problem. . .
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  2. #2
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    Quote Originally Posted by runner940 View Post
    Here is my word problem:

    SWIMMING POOL You are designing a rectangular swimming pool that is to be set into the ground. The width of the pool is 5 feet more than the depth, and the length is 35 feet more than the depth. The pool holds 2000 cubic feet of water. What are the dimensions of the pool?

    *Please help me to set up, I am having trouble even starting this problem. . .
    Write down what we know:

    w = d+5
    L = d+35
    V = wLd = 2000

    2000 = d(d+5)(d+35), 2000 = (d^2+35)(d+5) = d^3 +5d^2 + 35d + 175 and so d^3 + 5d^2 + 35d - 1825 = 0

    Solve the cubic for d and then work out w and L from your value(s) of d
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