Step-5

Title: Area of 2D-shapes

Grade: 1400-a Lesson: S3-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:

The area (A) of a regular hexagon can be calculated using the formula

A = \$(3 \sqrt 3)/2 (a)^2\$

4

Step

Substitute the values into the formula

A = \$(3 \sqrt 3)/2 (9)^2\$

5

Step

After Simplify the equation

A = \$((3 \sqrt 3) \times 81)/2\$

A = \$(243 \sqrt3)/2\$

6

Hint

Now, calculate the numerical value of \$sqrt 3\$ is

\$1.732\$

7

Step

Substitute \$sqrt 3\$ value

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

A = \$420.876/2 = 210.44\$

8

Step

So the area of the regular hexagon is \$210.44(cm)^2\$.

9

SumUp

Can you summarize what you’ve understood in the above steps?

10

Choice.A

It is correct option because it accurately represents the area of a regular hexagon with a side length of 9 cm

\$210.44(cm)^2\$

11

Choice.B

This is the incorrect option. The answer is too small, which indicates a miscalculation

\$20.44(cm)^2\$

12

Choice.C

This is the incorrect option. The answer is too small, which indicates a miscalculation

\$200.44(cm)^2\$

13

Choice.D

This is the incorrect option. The answer is too small, which indicates a miscalculation

\$201.44(cm)^2\$

14

Answer

Option

A

15

SumUp

Can you summarize what you’ve understood in the above steps?


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