The problem asks for the area of a trapezoid with given dimensions. The parallel sides (bases) are 5 yd and 17 yd, and the height is 5 yd. The length of one of the non-parallel sides is given as 13 yd, but this is not needed to find the area.

1. Problem Description

The problem asks for the area of a trapezoid with given dimensions. The parallel sides (bases) are 5 yd and 17 yd, and the height is 5 yd. The length of one of the non-parallel sides is given as 13 yd, but this is not needed to find the area.

2. Solution Steps

The area of a trapezoid is given by the formula:

$Area = \frac{1}{2} (b_1 + b_2)h$

where $b_1$ and $b_2$ are the lengths of the parallel sides (bases) and $h$ is the height.

In this case, $b_1 = 5$ yd, $b_2 = 17$ yd, and $h = 5$ yd.

Plugging in the values:

$Area = \frac{1}{2} (5 + 17) \times 5$

$Area = \frac{1}{2} (22) \times 5$

$Area = 11 \times 5$

$Area = 55$

3. Final Answer

The area of the trapezoid is 55 $yd^2$.