The problem asks to find the area of the polygon. The polygon can be decomposed into three rectangles. The dimensions are provided in the image. The area of a rectangle is given by the formula $A = bh$, where $b$ is the base and $h$ is the height.

1. Problem Description

The problem asks to find the area of the polygon. The polygon can be decomposed into three rectangles. The dimensions are provided in the image. The area of a rectangle is given by the formula $A = bh$, where $b$ is the base and $h$ is the height.

2. Solution Steps

First, we identify the three rectangles.

Rectangle 1 has a base of 5 yd and a height of 13 yd.

Rectangle 2 has a base of 10 yd and a height of 9 yd.

Rectangle 3 has a base of 3 yd and a height of 13 yd.

Next, calculate the area of each rectangle.

$Area_1 = 5 \times 13 = 65 \text{ yd}^2$

$Area_2 = 10 \times 9 = 90 \text{ yd}^2$

$Area_3 = 3 \times 13 = 39 \text{ yd}^2$

Finally, add the areas of the three rectangles to find the total area.

$Total Area = Area_1 + Area_2 + Area_3$

$Total Area = 65 + 90 + 39$

$Total Area = 194$

3. Final Answer

The total area of the polygon is 194 $yd^2$.