Jean made a piece of stained glass art in the shape of two mountains, as shown in the figure below. One mountain peak is 88 feet high and the other peak is 1212 feet high. Each peak forms a 90∘90^\circ angle, and the straight sides of the mountains form 45∘45^\circ angles with the ground. The artwork has an area of 183183 square feet. The sides of the mountains meet at an intersection point near the center of the artwork, hh feet above the ground. What is the value of hh?
A. 4
B. 5
C. 424\sqrt{2}
D. 6
E. 525\sqrt{2}

Inclusion-exclusion principle中文
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B. 5

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