math

The length of Laurie's rectangular swimming pool is triple its width. The pool cover an area of 192 m2. If Laurie swims across the diagonal and back, how far does she travel?

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  1. L=Lenght W=Width A=Area D=Diagonal
    L=3*W , A=L*W= 3*W*W= 3*W^2=192=3*W^2 3*W^2= 192 W^2=(192/3)=64
    W=sqroot(64)= 8 W=8
    L=3*W=3*8= 24 L=24
    D=sqroot(L^2 + W^2)
    D=sqroot(24^2 + 8^2)=sqroot(676+ 64)
    =sqroot(640)=sqroot(64*10)
    sqroot(64)=8
    D=8*sqroot(10)

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  2. One correction. My answer is correct, but I make one typefeler.
    24^2=576 not 676

    D=sqroot(24^2 + 8^2)=sqroot(576+ 64)
    =sqroot(640)=sqroot(64*10)
    sqroot(64)=8
    D=8*sqroot(10)

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