The trapezoid's area is 30 in².
Step-by-step explanation:
Step 1:
The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.
The trapezoid's area, [tex]A=\frac{a+b}{2} h.[/tex]
Here [tex]a = b_{1}[/tex] and [tex]b = b_{2}[/tex].
So [tex]A=\frac{b_{1}+b_{2}}{2} h.[/tex]
Step 2:
In the given diagram, [tex]b_{1} = 10[/tex] and [tex]b_{2} = 5[/tex], h = 4.
[tex]A=\frac{b_{1}+b_{2}}{2} h = \frac{10+5}{2} (4)= \frac{15}{2} (4)= 7.5(4) = 30.[/tex]
So the given trapezoid's area is 30 inch².
