Guest Posted February 19, 2011 Report Share Posted February 19, 2011 The final answer should be 47/96.There is a large square shape called ACEG. Square ACEG is further divided into 4 smaller equal sized squares called ABMH, BCDM, HMFG, and MDEF. Square ABMH is further divided into 9 smaller squares of equal sizes with 3 of smaller squares shaded. Square BCDM is further divided into two rectangles of equal sizes with one of the rectangles shaded. Square HMFG is just itself and its entire area is all shaded. Square MDEF is further divided into 8 smaller triangles of equal sizes with one of the triangle shaded. What part of square ACEG is shaded? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 19, 2011 Report Share Posted February 19, 2011 YES ,I also got the same answer.(BY USING A GRAPH-PAPER ,THE BEST ANSWER CAN BE IMAGINED ) It's 48.953333333...% Quote Link to comment Share on other sites More sharing options...
0 curr3nt Posted February 19, 2011 Report Share Posted February 19, 2011 Of the four quarters: ABMH = 1/3 shaded so 1/3 * 1/4 = 1/12 total shade BCDM = 1/2 shaded so 1/2 * 1/4 = 1/8 total shade HMFG = 1 shaded so 1 * 1/4 = 1/4 total shade MDEF = 1/8 shaded so 1/8 * 1/4 = 1/32 total shade 1/12 = 8/96 1/8 = 12/96 1/4 = 24/96 1/32 = 3/96 Add them all together for 47/96 shaded. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 19, 2011 Report Share Posted February 19, 2011 YES ,I also got the same answer.(BY USING A GRAPH-PAPER ,THE BEST ANSWER CAN BE IMAGINED )It's 48.953333333...% Hey Shivam, thanks for participating. It is nice to see we are on the same page. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 19, 2011 Report Share Posted February 19, 2011 Of the four quarters: ABMH = 1/3 shaded so 1/3 * 1/4 = 1/12 total shade BCDM = 1/2 shaded so 1/2 * 1/4 = 1/8 total shade HMFG = 1 shaded so 1 * 1/4 = 1/4 total shade MDEF = 1/8 shaded so 1/8 * 1/4 = 1/32 total shade 1/12 = 8/96 1/8 = 12/96 1/4 = 24/96 1/32 = 3/96 Add them all together for 47/96 shaded. Curr3nt, you are one cool problem solver that I have come to admire. Thanks for participating. Quote Link to comment Share on other sites More sharing options...
0 Smith Posted February 19, 2011 Report Share Posted February 19, 2011 (edited) Probably not the first to get this, but here goes: 47 / 96 or 0.4895833333333333 Smith (I need a sig line) Edited February 19, 2011 by Smith Quote Link to comment Share on other sites More sharing options...
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There is a large square shape called ACEG.
Square ACEG is further divided into 4 smaller equal sized squares called ABMH, BCDM, HMFG, and MDEF.
Square ABMH is further divided into 9 smaller squares of equal sizes with 3 of smaller squares shaded.
Square BCDM is further divided into two rectangles of equal sizes with one of the rectangles shaded.
Square HMFG is just itself and its entire area is all shaded.
Square MDEF is further divided into 8 smaller triangles of equal sizes with one of the triangle shaded.
What part of square ACEG is shaded?
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