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he ratio of two adjacent sides of a parallelogram is 5:4. Its perimeter is 18 cm then, what is the length of the adjacent sides?
  • a)
    5 cm, 7 cm
  • b)
    2 cm, 4 cm
  • c)
    3 cm, 5 cm
  • d)
    5 cm, 4 cm
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
he ratio of two adjacent sides of a parallelogram is 5:4. Its perimete...
To find the lengths of the adjacent sides of the parallelogram, we can use the given ratio and the perimeter of the parallelogram. Let's solve it step by step:

Step 1: Understanding the given information
- The ratio of two adjacent sides of the parallelogram is 5:4.
- The perimeter of the parallelogram is 18 cm.

Step 2: Finding the lengths of the sides
Let's assume the lengths of the adjacent sides are 5x and 4x, based on the given ratio.

Step 3: Setting up the equation
The perimeter of a parallelogram is the sum of all its sides. In this case, it is the sum of the two adjacent sides, which are 5x and 4x.
So, we can set up the following equation:
Perimeter = 2(5x + 4x) = 18 cm

Step 4: Solving the equation
2(5x + 4x) = 18
2(9x) = 18
18x = 18
x = 1

Step 5: Finding the lengths of the sides
Now that we have the value of x, we can substitute it back into the lengths of the sides.
Length of first adjacent side = 5x = 5 * 1 = 5 cm
Length of second adjacent side = 4x = 4 * 1 = 4 cm

Therefore, the lengths of the adjacent sides of the parallelogram are 5 cm and 4 cm, which corresponds to option D.
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Community Answer
he ratio of two adjacent sides of a parallelogram is 5:4. Its perimete...
5 cm, 4 cm
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he ratio of two adjacent sides of a parallelogram is 5:4. Its perimeter is 18 cm then, what is the length of the adjacent sides?a)5 cm, 7 cmb)2 cm, 4 cmc)3 cm, 5 cmd)5 cm, 4 cmCorrect answer is option 'D'. Can you explain this answer?
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