Question

Find the area of shaded part of figure.

• A. $3{\text{m}}^2$
• B. $9{\text{m}}^2$
• C. $6{\text{m}}^2$
• D. $12{\text{m}}^2$

Answer 1

The correct option is D $12{\text{m}}^2$

We have to find the area of shaded parts, here four triangles are shaded

Lets name the vertices of triangle as ABC.
All the four triangles are similar,
So, Area of closed figure $=4\times$ Area of triangle $△ABC$

$\text{Area of}△ABC=\frac{1}{2}\times \text{Base}\times \text{Height}$

$=\frac{1}{2}\times BC\times AD$

$=\frac{1}{2}\times 3\times 2$

$=3{\text{m}}^2$

Area of a closed figure $=4\times$ Area of triangle $△ABC$
$=4\times 3=12{\text{m}}^2$

Option (d) is correct.