Question

What is the area of this figure?

Answer 1

The answer is c 146cm

Answer 2

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

$Area=\frac{1}{2}\times (a+b)\times h\\\\Area=\frac{1}{2}\times (14+4)\times 10\\\\Area=\frac{1}{2}\times 18\times 10\\\\Area=90\ cm^2$

Height of triangle is given by

$18-10=8\ cm$

And Area of triangle would be

$\Area=\frac{1}{2}\times base\times height\\\\Area=\frac{1}{2}\times 14\times 8\\\\Area=56\ cm^2$

So, Total area of this figure is given by

$90+56=146\ cm^2$

Hence, Option ' C' is correct.