Area of the trapezoid = 148 inch²
Solution:
Base of the bottom side (AB) = 14 in
Base of the top side (DC) = DF + FE + EC
= 3 in + 14 in + 6 in
= 23 inch
Height of the trapezoid (BE) = 8 in
Parallel sides of the trapezoid are DC and AB.
To find the area of the trapezoid:
Area of the trapezoid = [tex]\frac{1}{2}\times \text{Sum of the parallel sides}\times \text{Height}[/tex]
[tex]$=\frac{1}{2}\times({DC+AB})\times{BE}[/tex]
[tex]$=\frac{1}{2}\times{(23+14)}\times{8}[/tex]
[tex]$=\frac{1}{2}\times{37}\times{8}[/tex]
[tex]$=148[/tex]
Area of the trapezoid = 148 inch
