Step-2

Title: Angles

Grade: 1300-a Lesson: S3-L8

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

Lesson Steps

Step Type Explanation Answer

1

Problem

The ratio of two sides of a parallelogram is 5 : 6. If its perimeter is 44 cm, find the lengths of its sides.

2

Step

Let the sides of the parallelogram be 5 x and 6 x.

3

Step

Now, we are given that the perimeter is

44 cm

4

Formula:

Perimeter(P)

P = 2(a + b)

5

Step

Substitute the values into the formula

⇒ 44 = 2(5x + 6x)

⇒ 44 = 2(11x)

⇒ 22x = 44

6

Step

Solve for x value

x = \$44/22\$

x = 2

7

Step

Now that we have the value of x, we can find the lengths of the sides

side 1 = 5x = 5(2) = 10 cm

side 2 = 6x = \$6 \times 2\$ = 12 cm

8

Step

So the lengths of the sides of the parallelogram are 10 cm and 12 cm.

9

SumUp

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

10

Choice.A

Incorrect, because the second side should be 12 cm, not 8 cm

10 cm, 8 cm

11

Choice.B

It is correct because it satisfies both the given ratio (5:6) and the perimeter requirement (44 cm)

10 cm , 12 cm

12

Choice.C

This is incorrect because the first side should be 10 cm, not 7 cm

7 cm , 12 cm

13

Choice.D

This is incorrect because the second side should be 12 cm, not 11 cm

10 cm , 12 cm

14

Answer

Option

B

15

SumUp

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


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