Question

What is the area of this figure?

Select from the drop-down menu to correctly complete the statement.
The area of the figure is choose A 56 B 90 C 146 D 216 cm².

Answer 1

the answer is c 146cm

Answer 2

Answer: Option ' C' is correct.

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=(1)/(2)* (a+b)* h\\\\Area=(1)/(2)* (14+4)* 10\\\\Area=(1)/(2)* 18* 10\\\\Area=90\ cm^2`

Height of triangle is given by

`18-10=8\ cm`

And Area of triangle would be

`\Area=(1)/(2)* base* height\\\\Area=(1)/(2)* 14* 8\\\\Area=56\ cm^2`

So, Total area of this figure is given by

`90+56=146\ cm^2`

Hence, Option ' C' is correct.