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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 11: Q5. (page 431)

Find the area of each figure:

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information.

The two sides of parallelogram are given6 and 3.

02

Step 2. Concept used.

Area of parallelogram can be found using the formula

$A = b h$

Where,

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

03

Step 3. Find the Height of a parallelogram.

In $△ A E D$

$s i n 60^{\circ} = \frac{h}{3}$

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

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

04

Step 4. Find the area of given figure.

Calculation: $A = b h$

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

$= 9 \sqrt{3}$ Square units.

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

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