Track / Stage 4 / 57 of 340 #317 of 1964

Problem 317

AMC 12 late, AIME early

Geometry Difficulty 4.6 Find the answer

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

Your answer

A number or a short expression. Spacing, $ signs and \frac vs / are all fine.

Official solution

12.
$\frac{2035}{48}$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.