Answer: Option ' C' is correct.
Step-by-step explanation:
Since we have given that
This figure contains trapezium and a triangle .
Area of this figure = Area of trapezium + Area of triangle
So, Area of trapezium is given by
[tex]Area=\frac{1}{2}\times (a+b)\times h\\\\Area=\frac{1}{2}\times (14+4)\times 10\\\\Area=\frac{1}{2}\times 18\times 10\\\\Area=90\ cm^2[/tex]
Height of triangle is given by
[tex]18-10=8\ cm[/tex]
And Area of triangle would be
[tex]\Area=\frac{1}{2}\times base\times height\\\\Area=\frac{1}{2}\times 14\times 8\\\\Area=56\ cm^2[/tex]
So, Total area of this figure is given by
[tex]90+56=146\ cm^2[/tex]
Hence, Option ' C' is correct.
