Intermediate Algebra

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your house sits on a rectangular lot that has a perimeter of 320 feet. you want to fence the two sides and the back of your lot. your neighbor on the back end wants to have a concrete frence that costs $16 per foot. your side neighbors do not want such an expensive fence and will settle for a fence that is $15 per foot. you received a bid from a local fence company for a total cost of $3134. how much will be your share of the cost assuming your two side neighbors will go in 1/2 (your back neighbor will not help you pay for the fence.)

  • Intermediate Algebra -

    You don't specify the dimensions of the lot, but we do know that

    2(width+length) = 320
    length = 160-width

    fence costs 2(15w)+16(160-w) = 3134
    w = 41

    so, the lot is 41x119

    119*16 = 1904 for the back fence
    82*15 = 1230 for the two side fences

    your share 1904 + 1/2 (1230) = 2519

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