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Lesson Example Discussion Quiz: Class Homework

Step-4

Title: Quadrilaterals( Trapezium , Parallelogram)

Grade: 6-a Lesson: S2-L6

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 parallelogram is 72 feet, and its area is 425 square feet. If the length is 19 feet, calculate the height of the parallelogram.(note:take width as a base)
2	Step	The height of the parallelogram with a given length	19 ft
3	Step	The perimeter is given as	72 ft
4	Step	Perimeter of parallelogram	P = 2(l + w)
5	Step	So, find the width (base)	72 = 2(19 + w)
6	Step	Divide 2 on both sides	36 = 19 + w
7	Step	To find the width, subtract 19 from both sides	36 - 19 = 19 - 19 + w w = 17 ft
8	Step	Now that you have the width (base) and the length, you can calculate the height (h) using the given area:	Area = \$"base" \times "height"\$ 425 = \$17 \times h\$
9	Step	To find the height, divide both sides by 17 feet:	\$427/17\$ = h h = 25 ft
10	Step	So, the height of the parallelogram is 25 feet when the length is 19 feet, and the width is taken as the base.
11	SumUp	Can you summarize what you’ve understood in the above steps?
12	Choice.A	This is not correct because it doesn’t match the calculated area for the given parallelogran	23 feet
13	Choice.B	This is not correct because it doesn’t match the calculated area for the given parallelogran	24 feet
14	Choice.C	This is correct because it matches the calculated perimeter for the given parallelogram	25 feet
15	Choice.D	This is not correct because it doesn’t match the calculated area for the given parallelogran	26 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 parallelogram is 72 feet, and its area is 425 square feet. If the length is 19 feet, calculate the height of the parallelogram.(note:take width as a base)

Step

The height of the parallelogram with a given length

19 ft

Step

The perimeter is given as

72 ft

Step

Perimeter of parallelogram

P = 2(l + w)

Step

So, find the width (base)

72 = 2(19 + w)

Step

Divide 2 on both sides

36 = 19 + w

Step

To find the width, subtract 19 from both sides

36 - 19 = 19 - 19 + w

w = 17 ft

Step

Now that you have the width (base) and the length, you can calculate the height (h) using the given area:

Area = \$"base" \times "height"\$

425 = \$17 \times h\$

Step

To find the height, divide both sides by 17 feet:

\$427/17\$ = h

h = 25 ft

Step

So, the height of the parallelogram is 25 feet when the length is 19 feet, and the width is taken as the base.

SumUp

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

Choice.A

This is not correct because it doesn’t match the calculated area for the given parallelogran

23 feet

Choice.B

This is not correct because it doesn’t match the calculated area for the given parallelogran

24 feet

Choice.C

This is correct because it matches the calculated perimeter for the given parallelogram

25 feet

Choice.D

This is not correct because it doesn’t match the calculated area for the given parallelogran

26 feet

Answer

Option

SumUp

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