Answer:
The area of trapezoid is 81 in²
Step-by-step explanation:
Given: In the given figure of trapezoid.
Formula: [tex]\text{Area of trapezoid}=\dfrac{1}{2}\times\text{Sum of length of parallel sides}\times \text{height}[/tex]
Dimension of trapezoid:
Length of base, b=12 in
Length of top, a=6 in
Height, h=9 in
[tex]\text{Area of trapezoid}=\dfrac{1}{2}\times h(a+b)[/tex]
By substituting the value of a, b and h
[tex]=\dfrac{1}{2}\times 9\cdot (6+12)[/tex]
[tex]=\dfrac{1}{2}\times 9\cdot 18[/tex]
[tex]= 9\cdot 9[/tex]
[tex]=81\text{ in}^2[/tex]
Hence, The area of trapezoid is 81 in²
