Part a) The area of the composite figure is ![81\ yd^{2}](/tpl/images/0367/3445/12e65.png)
Part b) The area of the triangle is  ![15\ yd^{2}](/tpl/images/0367/3445/6eb89.png)
Step-by-step explanation:
we know that
The area of the composite figure is equal to the area of rectangle plus the area of triangle plus the area of trapezoid
Step 1
Find the area of rectangle
![A1=(6)(7)=42\ yd^{2}](/tpl/images/0367/3445/7ac05.png)
Step 2
Find the area of triangle
![A2=\frac{1}{2}(5)(6)=15\ yd^{2}](/tpl/images/0367/3445/a5f03.png)
Step 3
Find the area of trapezoid
![A3=\frac{1}{2}(9+7)(3)=24\ yd^{2}](/tpl/images/0367/3445/aea1c.png)
Step 4
Find the area of the composite figure
![A=A1+A2+A3=(42+15+24)=81\ yd^{2}](/tpl/images/0367/3445/87513.png)