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Can you help me with this question please and tell me how to get the answer?

by Guest21279  |  earlier

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a square hot tub is outlined by a 2-foot wide tile border. In an overhead view, the area of the hot tub and border together is 144 Square feet. What is the length of one side of the hot tub itself?

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  1. 12 ft. Since the border and the area of the hot tub are taken in together to equal 144 sq. ft., and 12x12=144


  2. 8 ft  that's a big tub

    If there is a 2-ft border, then the length contains 4 ft of tile.

    since it is square, just take the sq root of 144, which is 12

    subtract 4 from 12 and you get the answer.

  3. The square root of 144 square feet equals 12 feet {12X12=144}. This means that the lenght of each side, including the 2-foot wide tile border.

    The sides are 12 feet each but you must subtract 2 feet from each side to get the length of the hot tub {12-2=10}. Therefore, the length of one side of the hot tub is 10 feet. In case your interested, this means that the square footage of the hot tub, by itself, equals 100 feet {10X10=100}.  

  4. o ok so.basically this is easier if you draw it.

    so

    you have a square with a 2 foot border

    _________

    l      _         l

    l     l_l         l

    l________l



    thats the best drawing i could do

    ok so since the border is 2 all the way around it makes the side look like its realy 4 [which is counting both sides of the border] then if the area which is l x w you have to use variables

    so

    (4+x)*(4+x) = 144

    144 is the given area

    and the first 4+x is the length and the second is the width

    so then you get

    (x+4)^2=144

    square root both sides and u get

    4+x=12

    subtract 4 to both sides and you get

    x = 8

    this is your answer ill try to draw it again

    ________

    l      _  2   l     \

    l      l8l      l      } 2 +2=4 4+x*4+x=144 x=8

    l______2l     /

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