AMC 8 2012 Problem 17

A square with integer side length is cut into 10 squares, all of which have integer side length and at least 8 of which have area 1. What is the smallest possible value of the length of the side of the original square? $\text{(A)}\hspace{.05in}3 \text{(B)}\hspace{.05in}4 \text{(C)}\hspace{.05in}5 \text{(D)}\hspace{.05in}6 \text{(E)}\hspace{.05in}7$