Answer :

Area= (b1+b2)/h
= (12+16)/9
= 28/9 = 3.111

Answer:

[tex]126\text{ cm}^2[/tex]

Step-by-step explanation:

Since we know that the area of trapezoid is one-half the sum of parallel sides times height of trapezoid.

[tex]\text{Area of trapezoid}=\frac{1}{2}*\text{The sum of length of parallel sides *Height}[/tex]

[tex]\text{Area of trapezoid}=\frac{1}{2}*(b_1+b_2)*h[/tex]

[tex]\text{Area of trapezoid}=\frac{1}{2}*(12+16)*9[/tex]

[tex]\text{Area of trapezoid}=\frac{1}{2}*(28)*9[/tex]

[tex]\text{Area of trapezoid}=14*9[/tex]

[tex]\text{Area of trapezoid}=126[/tex]

Therefore, the area of our given trapezoid will be 126 square cm.

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