Nancy is filling the bottom of a box with caramel candies. The rectangular box is 8 inches by 4 inches and the candies are -inch squares. How many candies will she need?

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.