Q5. - Geometry

Question

Find the area of each figure:

Step-by-Step Solution

Answer

The area of given figure is$9\sqrt{3}$ square units.

Step 1. Given information.

The two sides of parallelogram are given6  and 3.

Step 2. Concept used.

Area of parallelogram can be found using the formula 

$A=bh$

Where, 

$b=$ Base of a parallelogram and $h=$  Height of a parallelogram 

Step 3. Find the Height of a parallelogram.

In $△AED$

$sin{60}^{\circ }=\frac{h}{3}$

$\frac{\sqrt{3}}{2}=\frac{h}{3}$

$h=\frac{3\sqrt{3}}{2}$

Step 4. Find the area of given figure.

Calculation:$A=bh$

$=6\times \frac{3\sqrt{3}}{2}$

     

  $=9\sqrt{3}$    Square units.

Therefore, the area of given figure is$9\sqrt{3}$ Square units.