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Step-5

Title: Area of 2D shapes

Grade: 8-a Lesson: S1-L5

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the area of a regular hexagon of side 9cm.
2	Step	Given side is	a = 9 cm
3	Formula:	Area of a hexagon is	A = \$(3√3)/2 (a)^2\$
4	Step	Substitute the values	\$(3√3)/2 (9)^2\$ \$(3√3 \times 81)/2\$
5	Step	After simplification	\$(243√3)/2\$
6	Step	Now, calculate the numerical value of √3 is	\$1.732\$
7	Step	Substitute √3 value	\$(243 \times 1.732)/2\$ \$420.876/2\$ \$210.44\$
8	Step	So the area of the regular hexagon is	\$210.44(cm)^2\$
9		Answer	A

Step

Type

Explanation

Answer

Problem

Find the area of a regular hexagon of side 9cm.

Step

Given side is

a = 9 cm

Formula:

Area of a hexagon is

A = \$(3√3)/2 (a)^2\$

Step

Substitute the values

\$(3√3)/2 (9)^2\$

\$(3√3 \times 81)/2\$

Step

After simplification

\$(243√3)/2\$

Step

Now, calculate the numerical value of √3 is

\$1.732\$

Step

Substitute √3 value

\$(243 \times 1.732)/2\$

\$420.876/2\$

\$210.44\$

Step

So the area of the regular hexagon is

\$210.44(cm)^2\$

Answer