# Congruent Shapes

• Aug 29th 2011, 03:59 PM
strood
Congruent Shapes
Hi, my friend helped me out with a problem before he had to go somewhere:

http://i51.tinypic.com/nwal8h.png

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?
• Aug 29th 2011, 05:08 PM
skeeter
Re: Congruent Shapes
Quote:

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

http://i51.tinypic.com/nwal8h.png

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
• Aug 29th 2011, 05:23 PM
strood
Re: Congruent Shapes
Quote:

Originally Posted by skeeter
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?
• Aug 29th 2011, 05:36 PM
skeeter
Re: Congruent Shapes
Quote:

Originally Posted by strood
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
• Aug 29th 2011, 05:49 PM
strood
Re: Congruent Shapes
Quote:

Originally Posted by skeeter
scale doesn't matter ... look at how the entire paver is constructed

WOAH, nice! Did not catch that. Thanks!