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The area of a trapezium is 441 sq.cm and the ratio of parallel sides is 5 : 9. Also the perpendicular distance between them is 21 cm, the longer of parallel sides is
- a)14 cm
- b)12 cm
- c)33 cm
- d)27 cm
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The area of a trapezium is 441 sq.cm and the ratio of parallel sides i...
From the given data
Let the ratio of parallel sides be 5x : 9x
Also given that perpendicular distance between them h = 21 cm
we know that area of trapezium = ½ (a + b)h
⇒ 441 = ½ (5x + 9x) 21
⇒ 21 = ½ (14x)
⇒ 42 = 14x
⇒ x = 3
Substitute the value of x in 5x and 9x
⇒ 5x = 5(3) = 15 cm
⇒ 9x = 9(3) = 27 cm
∴ longer side of the parallel side = 27 cm
Let the ratio of parallel sides be 5x : 9x
Also given that perpendicular distance between them h = 21 cm
we know that area of trapezium = ½ (a + b)h
⇒ 441 = ½ (5x + 9x) 21
⇒ 21 = ½ (14x)
⇒ 42 = 14x
⇒ x = 3
Substitute the value of x in 5x and 9x
⇒ 5x = 5(3) = 15 cm
⇒ 9x = 9(3) = 27 cm
∴ longer side of the parallel side = 27 cm
Most Upvoted Answer
The area of a trapezium is 441 sq.cm and the ratio of parallel sides i...
Given:
- Area of trapezium = 441 sq.cm
- Ratio of parallel sides = 5 : 9
- Perpendicular distance between the parallel sides = 21 cm
To Find:
The longer of the parallel sides
Solution:
Let the lengths of the parallel sides be 5x and 9x.
The area of a trapezium is given by the formula:
Area = (1/2) × (sum of parallel sides) × (perpendicular distance between them)
Substituting the given values:
441 = (1/2) × (5x + 9x) × 21
441 = (1/2) × 14x × 21
441 = 7x × 21
441 = 147x
x = 441/147
x = 3
Therefore, the lengths of the parallel sides are:
5x = 5 × 3 = 15 cm
9x = 9 × 3 = 27 cm
Conclusion:
The longer of the parallel sides is 27 cm. Therefore, the correct answer is option (d) 27 cm.
- Area of trapezium = 441 sq.cm
- Ratio of parallel sides = 5 : 9
- Perpendicular distance between the parallel sides = 21 cm
To Find:
The longer of the parallel sides
Solution:
Let the lengths of the parallel sides be 5x and 9x.
The area of a trapezium is given by the formula:
Area = (1/2) × (sum of parallel sides) × (perpendicular distance between them)
Substituting the given values:
441 = (1/2) × (5x + 9x) × 21
441 = (1/2) × 14x × 21
441 = 7x × 21
441 = 147x
x = 441/147
x = 3
Therefore, the lengths of the parallel sides are:
5x = 5 × 3 = 15 cm
9x = 9 × 3 = 27 cm
Conclusion:
The longer of the parallel sides is 27 cm. Therefore, the correct answer is option (d) 27 cm.
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The area of a trapezium is 441 sq.cm and the ratio of parallel sides is 5 : 9. Also the perpendicular distance between them is 21 cm, the longer of parallel sides isa)14 cmb)12 cmc)33 cmd)27 cmCorrect answer is option 'D'. Can you explain this answer?
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The area of a trapezium is 441 sq.cm and the ratio of parallel sides is 5 : 9. Also the perpendicular distance between them is 21 cm, the longer of parallel sides isa)14 cmb)12 cmc)33 cmd)27 cmCorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The area of a trapezium is 441 sq.cm and the ratio of parallel sides is 5 : 9. Also the perpendicular distance between them is 21 cm, the longer of parallel sides isa)14 cmb)12 cmc)33 cmd)27 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of a trapezium is 441 sq.cm and the ratio of parallel sides is 5 : 9. Also the perpendicular distance between them is 21 cm, the longer of parallel sides isa)14 cmb)12 cmc)33 cmd)27 cmCorrect answer is option 'D'. Can you explain this answer?.
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