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 5x and 6x.

3

Step

Now, we are given that the perimeter is

44 cm

4

Formula

Perimeter(P) formula is P = 2(a + b).

5

Step

Plug 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 \times 2 = 10 cm\$

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

8

Solution

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

9

Sumup

Please summarize steps

Choices

10

Choice-A

This option is incorrect, because the second side should be 12 cm, not 8 cm

Wrong 10cm, 8cm

11

Choice-B

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

Correct 10cm, 12cm

12

Choice-C

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

Wrong 7cm, 12cm

13

Choice-D

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

Wrong 10cm, 11cm

14

Answer

Option

B

15

Sumup

Please summarize choices