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Thread: Rectangle and a Square.

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    Everything is Karma karmaholic's Avatar
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    Rectangle and a Square.

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    Do the rectangle ABCD and the square EFGH have the same area?

    ST 1 : AC = EG, AB = 1/2 * EH.
    ST 2 : The area of the triangle ABC is not equal to the area of the triangle EFG.

    I'll post the Official Answer in a while.
    Attached Thumbnails Attached Thumbnails Rectangle and a Square.-geo.gif  
    ॐ हौं जुं स: मृत्युंजयाय नम:॥ Salvation ..



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    Within my grasp! pach2212's Avatar
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    D I guess...
    Because the second statement says that the areas are unequal.
    And the using the first one, you can definitely get the ratio of the areas.
    I din't bother to calculate it though ;-)

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    An Urch Guru Pundit Swami Sage
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    Yeah, D it is. You can express the sides of the rectangle through the sides of the square and get the ratio of the areas...

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    Everything is Karma karmaholic's Avatar
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    Agreed . Official Answer is D!
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    An Urch Guru Pundit Swami Sage
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    Agreed with D.
    RD

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    Quote Originally Posted by alex_cute
    Yeah, D it is. You can express the sides of the rectangle through the sides of the square and get the ratio of the areas...

    B ..i think
    here is what i get from stmt #1

    AB^2 + BC^2 = EF^2 + EH^2
    reducing
    3/4 EH^2 = BC^2 - EF^2

    This doesnt get any close to comparing areas --UNLESS
    i am missing something..let me know

  7. #7
    Trying to make mom and pop proud
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    Geeky, EFGH is square. So, EH=EF. You get the ratio of the other sides.

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    Quote Originally Posted by adrish
    Geeky, EFGH is square. So, EH=EF. You get the ratio of the other sides.
    thanks Adrish --i missed on that detail

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