Answer:
264.5 yd²
Explanation:
You want the area of the figure shown.
Composition
The given figure can be decomposed into a triangle and two rectangles.
Triangle
The area of triangle ABH is ...
A = 1/2bh
A = 1/2(23 yd)(17 yd) = 195.5 yd²
Rectangles
The area of rectangle CDIH is ...
A = LW
A = (9 yd)(5 yd) = 45 yd²
The area of rectangle EFGI is ...
A = (6 yd)(4 yd) = 24 yd²
Total area
The area of the figure is the sum of the areas of its parts:
total area = triangle area + rectangle CDIH area + rectangle EFGI area
total area = 195.5 yd² + 45 yd² + 24 yd²
total area = 264.5 yd²