In the given diagram, the numbers shown are the lengths of the sides. What is the perimeter of the figure?
(A) 13
(D) 21
(B) 18
(C) 22
(E) 19

![](https://cdn.mathpix.com/cropped/2024_04_20_e85ef69091c57cb633f3g-138.jpg?height=363&width=368&top_left_y=1171&top_left_x=1323)
In the given diagram, the numbers shown are the lengths of the sides. What is the perimeter of the figure?
(A) 13
(D) 21
(B) 18
(C) 22
(E) 19

![](https://cdn.mathpix.com/cropped/2024_04_20_688a3b42f69739f2e244g-253.jpg?height=420&width=439&top_left_y=1904&top_left_x=1404)

## Solution

The easiest way to determine the length of the missing side is by drawing in a line to form two rectangles. Since opposite sides in a rectangle are equal we can label the sides as shown. The required perimeter is thus $2+3+2+6+2+4+3=22$.

![](https://cdn.mathpix.com/cropped/2024_04_20_688a3b42f69739f2e244g-254.jpg?height=423&width=463&top_left_y=241&top_left_x=1384)

ANSWER: (C)