The equation for the area of a trapezoid is [tex]A = \frac{1}{2}h(a+b)[/tex], where A=area, a & b = lengths of your bases (aka the parallel sides of your trapezoid), and h = height of the trapezoid.
You're given 4.4yd and 9yd as the length of your bases. Choose one to be your variable a and choose the other to be b, doesn't matter! I'll say a = 4.4yd and b = 9yd. The height you're given is h = 3.8yd. Plug these values into the equation for the area of a trapezoid and solve for A, the area:
[tex]A = \frac{1}{2}h(a+b)\\
A = \frac{1}{2}(3.8yd)(4.4yd+9yd)\\
A = \frac{1}{2}(3.8yd)(13.4yd)\\
A = \frac{1}{2}(50.92yd^{2} )\\
A = 25.46 yd^{2} [/tex]
The area of your trapezoid is [tex]A = 25.46 yd^{2} [/tex].
