The diagram is made up of four congruent rectangles with dimensions 3 by 4 . What is the length of the path from $A$ to $B$ shown on the diagram?
(A) 22
(B) 21
(C) 19
(D) 20
(E) 23

![](https://cdn.mathpix.com/cropped/2024_04_20_6027bc27089ed4fc493cg-003.jpg?height=209&width=480&top_left_y=703&top_left_x=1251)
In the leftmost rectangle, the length of the path along the rectangle's diagonal, $d$, and the sides with lengths 3 and 4 , form a right-angled triangle.

Using the Pythagorean Theorem, we get $d^{2}=3^{2}+4^{2}$, and so $d=\sqrt{3^{2}+4^{2}}=\sqrt{25}=5$ (these are "3-4-5" right-angled triangles).

The path from $A$ to $B$ includes one such diagonal, two vertical sides each of length 4 , and three horizontal sides each of length 3 , and thus has length $5+(2 \times 4)+(3 \times 3)=22$.

ANSWER: (A)