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Summer Clouds moderators

09/08/2017 at 08:46
Answers
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Squares A, B and C, shown here, have sides of length x, 2x and 3x units, respectively. What is the perimeter of the entire figure? 
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  • ...
    Lê Quốc Trần Anh Coordinator 09/08/2017 at 09:02

    From the figure, the perimeter of A is: \(x.4=4x\), the perimeter of B is: \(2x.4=8x\) and the perimeter of C is: \(3x.4=12x\). The perimeter not in the big figure is: \(x+x+2x+2x=6x\)

    So the perimeter of he big figure is: \(4x+8x+12x-6x=18x\)

    WhySoSerious's answer is not correct.

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    Phan Thanh Tinh Coordinator 09/08/2017 at 11:53

    A B C D G H I K L

    Name the points as shown

    PACDG = 2[(x + 2x + 3x) + 3x] = 18x

    We see that : AB + AH = HI + IK + KL + BL

    => PBCDGHIKL = PACDG = 18x

  • ...
    WhySoSerious 09/08/2017 at 09:07

    Yes, thanks Lê Quốc Trần Anh :(( I will do better next time :)

  • ...
    WhySoSerious 09/08/2017 at 08:49

    The perimeter of square A is \(4x\)

    The perimeter of square B is \(8x\)

    The perimeter of square C is \(12x\)

    The perimeter of the entire figure is \(4x+8x+12x=24x\)(unit)


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