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Lesson Example Discussion Quiz: Class Homework

Step-3

Title: Area of 2D-Shapes

Grade: 6-a Lesson: S4-L1

Explanation: Let us verify the answer here with the steps.

Lesson Steps Head1

Step	Type	Explanation	Answer
1	Problem	The area of Mike’s rectangle backyard is 114 square meters. If the length of the backyard is 6 meters, what is the perimeter of Mike’s backyard?
2	Step	The area of Mike’s backyard is given,(A)	114 sq.mtrs
3	Step	The length of Mike’s backyard is given,(l)	6 mtrs
4	Formula	Now we can use the formula for the area of a rectangle:	\$"Area" = "Length" times "Width"\$
5	Step	Now, plug the values into the formula	114 = \$6 \times "Width"\$
6	Step	To solve the equation, divide both sides by the number 6	\$114/6\$ = \$(6 \times "W")/6\$ ⇒ W = 19
7	Formula	Now that you have both the length (L) and width (W) of Mike’s backyard, you can calculate its perimeter (P):	\$"P" = 2 times ("Length" + "Width")\$
8	Step	Now plug the values into the formula	⇒ \$"P" = 2 times (6 + 19)\$ ⇒ P = 2(25) ⇒ P = 50 mtrs
9	Step	So, the perimeter of Mike’s backyard is 50 meters.
10	SumUp	Can you summarize what you’ve understood in the above steps?
11	Choice.A	Incorrect.This is half of the correct answer and doesn’t represent the perimeter	25 mtrs
12	Choice.B	This is the correct answer based on the calculations	50 mtrs
13	Choice.C	Incorrect. This is less than the correct answer and also doesn’t represent the perimeter	18 mtrs
14	Choice.D	Incorrect. This is less than the correct answer and doesn’t represent the perimeter	22 mtrs
15	Answer	Option	B
16	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

The area of Mike’s rectangle backyard is 114 square meters. If the length of the backyard is 6 meters, what is the perimeter of Mike’s backyard?

Step

The area of Mike’s backyard is given,(A)

114 sq.mtrs

Step

The length of Mike’s backyard is given,(l)

6 mtrs

Formula

Now we can use the formula for the area of a rectangle:

\$"Area" = "Length" times "Width"\$

Step

Now, plug the values into the formula

114 = \$6 \times "Width"\$

Step

To solve the equation, divide both sides by the number 6

\$114/6\$ = \$(6 \times "W")/6\$

⇒ W = 19

Formula

Now that you have both the length (L) and width (W) of Mike’s backyard, you can calculate its perimeter (P):

\$"P" = 2 times ("Length" + "Width")\$

Step

Now plug the values into the formula

⇒ \$"P" = 2 times (6 + 19)\$

⇒ P = 2(25)

⇒ P = 50 mtrs

Step

So, the perimeter of Mike’s backyard is 50 meters.

SumUp

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

Choice.A

Incorrect.This is half of the correct answer and doesn’t represent the perimeter

25 mtrs

Choice.B

This is the correct answer based on the calculations

50 mtrs

Choice.C

Incorrect. This is less than the correct answer and also doesn’t represent the perimeter

18 mtrs

Choice.D

Incorrect. This is less than the correct answer and doesn’t represent the perimeter

22 mtrs

Answer

Option

SumUp

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