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Math Help - Congruent Shapes

  1. #1
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    Congruent Shapes

    Hi, my friend helped me out with a problem before he had to go somewhere:



    He told me that since it says '6 congruent shapes implies that the height is 2/3 of the width.' I never got that. After that though, it's basic linear equations, I ended up with 100 centimeters. But how did he come up with the height = 2/3 width thing?
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  2. #2
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    Re: Congruent Shapes

    Quote Originally Posted by strood View Post
    Hi, my friend helped me out with a problem before he had to go somewhere:



    He told me that since it says '6 congruent shapes implies that the height is 2/3 of the width.' I never got that. After that though, it's basic linear equations, I ended up with 100 centimeters. But how did he come up with the height = 2/3 width thing?
    note that each smaller rectangle has a length 4 times its width ... so the height of the paver is 4W

    bottom length of the paver (what you are calling the width) is 6 times the width = 6W

    4W/6W = 2/3
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    Re: Congruent Shapes

    Quote Originally Posted by skeeter View Post
    note that each smaller rectangle has a length 4 times its width ... so the height of the paver is 4W

    bottom length of the paver (what you are calling the width) is 6 times the width = 6W

    4W/6W = 2/3
    Hi, thanks for that, but how would you know if the rectangle's length is 4x its width? The shape may or may not be in scale... right?
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  4. #4
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    Re: Congruent Shapes

    Quote Originally Posted by strood View Post
    Hi, thanks for that, but how would you know if the rectangle's length is 4x its width? The shape may or may not be in scale... right?
    scale doesn't matter ... look at how the entire paver is constructed
    Attached Thumbnails Attached Thumbnails Congruent Shapes-rect.jpg  
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    Re: Congruent Shapes

    Quote Originally Posted by skeeter View Post
    scale doesn't matter ... look at how the entire paver is constructed
    WOAH, nice! Did not catch that. Thanks!
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