Question 3
Two identical small circles of radius $5$ cm and a large circle of radius $8$ cm are placed inside rectangle $ABCD$ as shown. Each small circle touches the bottom side and its adjacent vertical side; the large circle touches the top side and both small circles. Given $AB=34$ cm, find the area of $ABCD$ in $\mathrm{cm}^2$.
Enter the exact number only.
Enter the exact number only.