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Lesson Example Discussion Quiz: Class Homework

Step-3

Title: Perimeter of Rectangle

Grade: 6-a Lesson: S1-L4

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	The perimeter of a rectangle is equal to the perimeter of a square.If the side length of the square is 7 cm, find the dimensions (length and width) of the rectangle?
2	Step	The side (s) length of the square is given	7 cm
3	Step	Perimeter of square(p)	p = 4s p = \$4 \ times 7\$ p = 28 cm
4	Hint	We must find the rectangle’s dimensions as its perimeter is the same as the square’s.We’ll need to check the options.
5	Step	Here option A values are Length = 9 cm, and Width = 6 cm	p = 2(l+ w) p = 2(9 + 6) p = 30 cm
6	Hint	In this scenario, the perimeter of the rectangle is 30 cm and the perimeter of the square is 28 cm, indicating they do not match.
7	Step	Similarly, option B values are Length = 9cm and width = 5 cm.	p = 2(l+ w) p = 2(9 + 5) p = 2(14) p = 28 cm
8	Step	In this scenario, both the perimeter of the rectangle and the perimeter of the square are 28 cm, indicating that they match.
9	Step	Based on this scenario, Option B is the correct choice.
10	SumUp	Can you summarize what you’ve understood in the above steps?
11	Choice.A	Substituting the option value into the problem reveals a perimeter inconsistent with that of a square, making it incorrect	Length = 9 cm, Width = 6 cm
12	Choice.B	Substituting the option value into the problem ensures satisfaction of the condition, as the perimeter matches that of a square, making it the correct choice	Length = 9 cm, Width = 5 cm
13	Choice.C	Substituting the option value into the problem reveals a perimeter inconsistent with that of a square, making it incorrect	Length = 10 cm, Width = 7 cm
14	Choice.D	Substituting the option value into the problem reveals a perimeter inconsistent with that of a square, making it incorrect	Length = 10 cm, Width = 9 cm
15	Answer	Option	B
16	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

The perimeter of a rectangle is equal to the perimeter of a square.If the side length of the square is 7 cm, find the dimensions (length and width) of the rectangle?

Step

The side (s) length of the square is given

7 cm

Step

Perimeter of square(p)

p = 4s

p = \$4 \ times 7\$

p = 28 cm

Hint

We must find the rectangle’s dimensions as its perimeter is the same as the square’s.We’ll need to check the options.

Step

Here option A values are Length = 9 cm, and Width = 6 cm

p = 2(l+ w)

p = 2(9 + 6)

p = 30 cm

Hint

In this scenario, the perimeter of the rectangle is 30 cm and the perimeter of the square is 28 cm, indicating they do not match.

Step

Similarly, option B values are Length = 9cm and width = 5 cm.

p = 2(l+ w)

p = 2(9 + 5)

p = 2(14)

p = 28 cm

Step

In this scenario, both the perimeter of the rectangle and the perimeter of the square are 28 cm, indicating that they match.

Step

Based on this scenario, Option B is the correct choice.

SumUp

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

Choice.A

Substituting the option value into the problem reveals a perimeter inconsistent with that of a square, making it incorrect

Length = 9 cm, Width = 6 cm

Choice.B

Substituting the option value into the problem ensures satisfaction of the condition, as the perimeter matches that of a square, making it the correct choice

Length = 9 cm, Width = 5 cm

Choice.C

Substituting the option value into the problem reveals a perimeter inconsistent with that of a square, making it incorrect

Length = 10 cm, Width = 7 cm

Choice.D

Substituting the option value into the problem reveals a perimeter inconsistent with that of a square, making it incorrect

Length = 10 cm, Width = 9 cm

Answer

Option

SumUp

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