Step-4

Title: Perimeter of Triangle

Grade: 6-a Lesson: S1-L7

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

Lesson Steps

Step Type Explanation Answer

1

Problem

The perimeter of an equilateral triangle is 45 meters. The length of each side was reduced by half. What is the resultant length of the perimeter?

2

Step

The perimeter of an equilateral triangle is given,(P)

45 meters

3

Formula

Perimeter of an equilateral triangle

P = 3a

4

Step

Now, we have to find the sides of an equilateral triangle substitute the values

45 = 3a

5

Step

Divide 3 on both sides

\$45/3\$ = \$(3a)/3\$

6

Step

After cancellation, the length of each side is

a = 15 mtrs

7

Step

Now, we have to reduce the original side length by half to find out new side length

Side_new = \$"side_orginal"/2\$

side_new = \$15/2\$

⇒ 7.5

8

Step

Perimeter of an equilateral triangle for new side length

P_new = 3a

P_new = 3 * 7.5

⇒ 22.5

9

Step

The perimeter for the new equilateral triangle is 22.5 cm.

10

SumUp

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

11

Choice.A

The option differs from the correct answer, making it an inaccurate choice in the comparison

22.5 meters

12

Choice.B

The option is equivalent to the answer, making it the correct choice in this comparison

22.1 meters

13

Choice.C

The option is equivalent to the answer, making it the correct choice in this comparison

23.5 meters

14

Choice.D

The option is equivalent to the answer, making it the correct choice in this comparison

21.2 meters

15

Answer

Option

A

16

SumUp

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


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