Lesson Example Discussion Quiz: Class Homework |
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. |
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2 |
Step |
Let the sides of the parallelogram be 5 x and 6 x. |
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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. |
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9 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
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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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