Problem of the Week
Problem E
Zigzagged

A fence is to be constructed in a zigzag pattern inside a rectangular field, as shown.

Rectangle ABCD with top left vertex A, length AB, and width
AD. E is on AB, H and G are on CD, with H to the left of G, and F is on
BC. The fence starts at vertex A and goes from A to H to E to G to
F.

The fence will be constructed so that $∠ A H D = ∠ E H G$ , $∠ A E H = ∠ B E G$ , $∠ E G H = ∠ F G C$ , and $C F = 12$ m. If $A B = 36$ m and $A D = 20$ m, determine the total length of fencing required. That is, determine the value of $A H + E H + E G + F G .$

Problem of the Week Problem E Zigzagged

Problem of the Week
Problem E
Zigzagged