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The ratio of two adjacent sides of a parallelogram is 4:5. If its perimeter is 72 cm, find its adjacent sides.
- a)18 cm and 25 cm
- b)16 cm and 25 cm
- c)18 cm and 20 cm
- d)16 cm and 20 cm
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The ratio of two adjacent sides of aparallelogram is 4:5. If its perim...
Let the breadth be 4x. So, length =5x we know perimeter is 2(l+b) which is equal to 72 or 2(5x+4x) or 18x=72 so x =4 sides are 16cm and 20 cm.
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The ratio of two adjacent sides of aparallelogram is 4:5. If its perim...
Given:
- The ratio of two adjacent sides of a parallelogram is 4:5.
- The perimeter of the parallelogram is 72 cm.
To find:
- The lengths of the adjacent sides of the parallelogram.
Solution:
Let's assume the common ratio between the two sides is x. Therefore, the lengths of the two adjacent sides can be expressed as 4x and 5x.
Step 1: Set up the equation for the perimeter:
The perimeter of a parallelogram is the sum of all its sides. In this case, it is given as 72 cm. So, we can set up the equation:
Perimeter = 2(Length + Width)
72 = 2(4x + 5x)
Simplifying the equation:
72 = 2(9x)
Step 2: Solve the equation:
Divide both sides by 2:
36 = 9x
Divide both sides by 9:
4 = x
Step 3: Find the lengths of the adjacent sides:
Now that we have the value of x, we can substitute it back into the expressions for the lengths of the adjacent sides:
Length = 4x = 4(4) = 16 cm
Width = 5x = 5(4) = 20 cm
Therefore, the lengths of the adjacent sides of the parallelogram are 16 cm and 20 cm.
Conclusion:
The correct answer is option D) 16 cm and 20 cm.
- The ratio of two adjacent sides of a parallelogram is 4:5.
- The perimeter of the parallelogram is 72 cm.
To find:
- The lengths of the adjacent sides of the parallelogram.
Solution:
Let's assume the common ratio between the two sides is x. Therefore, the lengths of the two adjacent sides can be expressed as 4x and 5x.
Step 1: Set up the equation for the perimeter:
The perimeter of a parallelogram is the sum of all its sides. In this case, it is given as 72 cm. So, we can set up the equation:
Perimeter = 2(Length + Width)
72 = 2(4x + 5x)
Simplifying the equation:
72 = 2(9x)
Step 2: Solve the equation:
Divide both sides by 2:
36 = 9x
Divide both sides by 9:
4 = x
Step 3: Find the lengths of the adjacent sides:
Now that we have the value of x, we can substitute it back into the expressions for the lengths of the adjacent sides:
Length = 4x = 4(4) = 16 cm
Width = 5x = 5(4) = 20 cm
Therefore, the lengths of the adjacent sides of the parallelogram are 16 cm and 20 cm.
Conclusion:
The correct answer is option D) 16 cm and 20 cm.
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Community Answer
The ratio of two adjacent sides of aparallelogram is 4:5. If its perim...
Let the rations be x then 4x+5x+4x+5x=72 18x=72 x=4 then 4x=16 and 5x=20
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The ratio of two adjacent sides of aparallelogram is 4:5. If its perimeter is 72 cm,find its adjacent sides.a)18 cm and 25 cmb)16 cm and 25 cmc)18 cm and 20 cmd)16 cm and 20 cmCorrect answer is option 'D'. Can you explain this answer?
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The ratio of two adjacent sides of aparallelogram is 4:5. If its perimeter is 72 cm,find its adjacent sides.a)18 cm and 25 cmb)16 cm and 25 cmc)18 cm and 20 cmd)16 cm and 20 cmCorrect answer is option 'D'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The ratio of two adjacent sides of aparallelogram is 4:5. If its perimeter is 72 cm,find its adjacent sides.a)18 cm and 25 cmb)16 cm and 25 cmc)18 cm and 20 cmd)16 cm and 20 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of two adjacent sides of aparallelogram is 4:5. If its perimeter is 72 cm,find its adjacent sides.a)18 cm and 25 cmb)16 cm and 25 cmc)18 cm and 20 cmd)16 cm and 20 cmCorrect answer is option 'D'. Can you explain this answer?.
The ratio of two adjacent sides of aparallelogram is 4:5. If its perimeter is 72 cm,find its adjacent sides.a)18 cm and 25 cmb)16 cm and 25 cmc)18 cm and 20 cmd)16 cm and 20 cmCorrect answer is option 'D'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The ratio of two adjacent sides of aparallelogram is 4:5. If its perimeter is 72 cm,find its adjacent sides.a)18 cm and 25 cmb)16 cm and 25 cmc)18 cm and 20 cmd)16 cm and 20 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of two adjacent sides of aparallelogram is 4:5. If its perimeter is 72 cm,find its adjacent sides.a)18 cm and 25 cmb)16 cm and 25 cmc)18 cm and 20 cmd)16 cm and 20 cmCorrect answer is option 'D'. Can you explain this answer?.
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The ratio of two adjacent sides of aparallelogram is 4:5. If its perimeter is 72 cm,find its adjacent sides.a)18 cm and 25 cmb)16 cm and 25 cmc)18 cm and 20 cmd)16 cm and 20 cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The ratio of two adjacent sides of aparallelogram is 4:5. If its perimeter is 72 cm,find its adjacent sides.a)18 cm and 25 cmb)16 cm and 25 cmc)18 cm and 20 cmd)16 cm and 20 cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The ratio of two adjacent sides of aparallelogram is 4:5. If its perimeter is 72 cm,find its adjacent sides.a)18 cm and 25 cmb)16 cm and 25 cmc)18 cm and 20 cmd)16 cm and 20 cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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