Would you apply the Pythagorean theorem to this problem?
anonymous
2011-09-26 18:14:56 UTC
Rectangle ABCD is similar to rectangle WXYZ, with Line AB corresponding to Line WX. If AB=24, BC=30, and WX=16, what is the area of the rectangle WXYZ
Four answers:
Mike
2011-09-26 18:16:51 UTC
no. pythagorean is for triangles only
anonymous
2011-09-27 01:24:16 UTC
No, you would use proportions to solve. Segment AB should be proportional to segment WX, and segment BC should be proportional to segment XY.
~To solve, you would set up a proportion like this.
30=x
--- ----
24 16
Then cross multiply to get x=20. This means that segment XY is 20 units. Then in order to find the area of a rectangle use, A=bh. So fill in 16 for b and 20 for h. THE AREA OF THE RECTANGLE WXYZ WOULD BE 320 SQUARE UNITS.
anonymous
2011-09-27 01:18:09 UTC
No, you just need to apply a proportion. If AB=24 is proportionate to WX=16, then BC=30 is also proportionate by the same proportion to XY.
So 24/16=1.5, so then you do BC=30, 30/1.5=20
TC
2011-09-27 01:18:06 UTC
its a ratio or proportion problem
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