What is the area of this composite figure?
A. 8250 mm2
B. 9900 mm2
C. 11550 mm2
D. 19800 mm2
We have two congruent trapezoids.
The formula of an area of a trapezoid:
[tex]A=\dfrac{base_1+base_2}{2}\cdot\ height[/tex]
We have:
[tex]base_1=210\ mm\\\\base_2=150\ mm\\\\height=55\ mm[/tex]
Substitute:
[tex]A=\dfrac{210+150}{2}\cdot55=\dfrac{360}{2}\cdot55=180\cdot55=9,900\ mm^2[/tex]
Answer:
[tex]2A=2\cdot9,900\ mm^2=19,800\ mm^2[/tex]