Maths Olympiad Prep

Track / Stage 4 / 77 of 340 #337 of 1964

Problem 337

AMC 12 late, AIME early
Geometry Difficulty 4.6 Find the answer

As shown in Figure 4, in rectangle ABCDA B C D, AB=5,BCA B=5, B C =12=12. When rectangle ABCDA B C D is folded along the diagonal ACA C and placed on the table, the area covered by the resulting figure on the table is \qquad .

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

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Official solution

12.
203548 \frac{2035}{48}

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.