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Lesson Example Discussion Quiz: Class Homework

Step-5

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 48 feet, and the width of the rectangle is less than 6 feet of its length. Find the length and width.
2	Step	The perimeter(P) of the rectangle is	48 feet
3	Step	The width(w) of the rectangle is less than 6 feet of its length(l).	w = l - 6
4	Formula	Perimeter of rectangle	P = 2(l + w)
5	Step	Now, we can substitute the expression for w from above into the perimeter formula:	48 = 2(l + l - 6)
6	Step	Now , simplify and solve for l:	48 = 2(2l - 6) 48 = 4l - 12
7	Step	Add 12 to both sides	48 + 12 = 4l - 12 + 12 60 = 4l
8	Step	Divide both sides by 4 to find l	\$60/4\$ = \$(4l)/4\$ l = 15
9	Step	Now that we have found the length (l), we can find the width (w) using the relationship w = l - 6	w = 15 - 6 = 9
10	Step	So, the correct option C is Length = 15 feet, Width = 9 feet.
11	SumUp	Can you summarize what you’ve understood in the above steps?
12	Choice.A	The given option’s value does not match the answer, confirming the inaccurate dimensions for a rectangle, making it the worng choice	Length = 14 feet, Width = 9 feet
13	Choice.B	The given option’s value does not match the answer, confirming the inaccurate dimensions for a rectangle, making it the worng choice	Length = 18 feet, Width = 12 feet
14	Choice.C	The given option’s value matches the answer, confirming the accurate dimensions for a rectangle, making it the right choice	Length = 15 feet, Width = 9 feet
15	Choice.D	The given option’s value does not match the answer, confirming the inaccurate dimensions for a rectangle, making it the worng choice	Length = 16 feet, Width = 8 feet
16	Answer	Option	C
17	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

The perimeter of a rectangle is 48 feet, and the width of the rectangle is less than 6 feet of its length. Find the length and width.

Step

The perimeter(P) of the rectangle is

48 feet

Step

The width(w) of the rectangle is less than 6 feet of its length(l).

w = l - 6

Formula

Perimeter of rectangle

P = 2(l + w)

Step

Now, we can substitute the expression for w from above into the perimeter formula:

48 = 2(l + l - 6)

Step

Now , simplify and solve for l:

48 = 2(2l - 6)

48 = 4l - 12

Step

Add 12 to both sides

48 + 12 = 4l - 12 + 12

60 = 4l

Step

Divide both sides by 4 to find l

\$60/4\$ = \$(4l)/4\$

l = 15

Step

Now that we have found the length (l), we can find the width (w) using the relationship w = l - 6

w = 15 - 6 = 9

Step

So, the correct option C is Length = 15 feet, Width = 9 feet.

SumUp

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

Choice.A

The given option’s value does not match the answer, confirming the inaccurate dimensions for a rectangle, making it the worng choice

Length = 14 feet, Width = 9 feet

Choice.B

The given option’s value does not match the answer, confirming the inaccurate dimensions for a rectangle, making it the worng choice

Length = 18 feet, Width = 12 feet

Choice.C

The given option’s value matches the answer, confirming the accurate dimensions for a rectangle, making it the right choice

Length = 15 feet, Width = 9 feet

Choice.D

The given option’s value does not match the answer, confirming the inaccurate dimensions for a rectangle, making it the worng choice

Length = 16 feet, Width = 8 feet

Answer

Option

SumUp

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