AMO · 2027 · Grades 6-7 · Self-study SET 24 Question 8

As shown, the overlap of rectangles ABCD and EFGH is also a rectangle. The area of ABCD is $174\text{ cm}^2$ and the area of EFGH is $52\text{ cm}^2$. $EF=13\text{ cm}$ and $BC=29\text{ cm}$. What is the area, in square centimeters, of the entire figure?



**Input:** Enter the integer only, without units.