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Geometry Difficulty 3.1 AMC 10/12 Find the answer Netherlands

A square with area 44 is divided into two grey and two transparent squares, each having an area of size 11; see the left figure. Another such square is put on top of this square. The side of the second square is lying exactly on the middle of the diagonal of the first square; see the right figure.
Figure 1
What is the area of the grey part in the right figure? Give your answer as a reduced fraction.

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

3123\frac{1}{2}

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