help please!
What is the area of this trapezoid?
108 in²
139.5 in²
166 in²
171 in²
![help please What is the area of this trapezoid 108 in 1395 in 166 in 171 in class=](https://us-static.z-dn.net/files/d71/ab573058e97d110c49f1526bcdc4d26b.png)
Answer:
A = 139.5 in²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
here h = 9 , b₁ = 12 and b₂ = 2 + 12 + 5 = 19 , then
A = [tex]\frac{1}{2}[/tex] × 9 × (12 + 19) = 4.5 × 31 = 139.5 in²