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## Question

Guest

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?

## 5 answers to this question

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Guest

YES ,I also got the same answer.(BY USING A GRAPH-PAPER ,THE BEST ANSWER CAN BE IMAGINED )

It's 48.953333333...%

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curr3nt    23

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

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Guest
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.

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Guest

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

Curr3nt, you are one cool problem solver that I have come to admire. Thanks for participating.

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Probably not the first to get this, but here goes:

47 / 96 or 0.4895833333333333

Smith

(I need a sig line)

Edited by Smith

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