Question 85
Three friends enter Giorgio's pizzeria and each sits at one side of a rectangular table. The first sits at a side of length $70~\mathrm{cm}$; the second and third sit opposite each other at sides of length $l$. The pizzas have diameter $30~\mathrm{cm}$. Giorgio serves the first customer's pizza tangent to that customer's side at its midpoint, and the other two pizzas tangent to their respective sides and to the first pizza. What is the minimum value of $l$ (in centimeters) for all three pizzas to fit entirely on the table?
(A) $10\sqrt5$
(B) $20+5\sqrt5$
(C) $15+10\sqrt5$
(D) $30+10\sqrt5$
(E) 60
(A) $10\sqrt5$
(B) $20+5\sqrt5$
(C) $15+10\sqrt5$
(D) $30+10\sqrt5$
(E) 60