Given: The dimension of a trapezoid as shown below
[tex]a=6m,b=4m,h=6m[/tex]
To Determine: The area of the given trapezoid
Solution
The formula for finding the area of a trapezoid is
[tex]A_{\text{rea}}=\frac{1}{2}(a+b)h[/tex]
Substitute the given into the formula
[tex]\begin{gathered} A_{\text{rea}}=\frac{1}{2}(4+6)\times6 \\ A_{\text{rea}}=\frac{1}{2}(10)\times6=30m^2 \end{gathered}[/tex]
Hence, the area of the trapezoid is 30m²
