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Directions: Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.Find the perimeter of the rhombus.Statement I: Area of the rhombus is 336 cm2Statement II: The ratio of the two diagonals is 7∶ 24 and the difference between the two diagonals is 34 cm1. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.3. If the data either in statement I alone or in statement II alone is sufficient to answer the question.4. If the data even in both the statements I and II together are not sufficient to answer the question.5. If the data in both statements I and II together are needed to answer the question. |
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Answer» Correct Answer - Option 2 : If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. Given: Statement I: Area of rhombus = 336 cm2 Statement II: Ratio of two diagonals = 7∶ 24 Difference between the two diagonals = 34 cm Concept used: The two diagonals bisect each other at 90° in a rhombus. Formula used: Perimeter = 4 × (Side of the rhombus) Calculations: Statement II: Let the two diagonals be 7x and 24x Difference between the two diagonals = 24x– 7x = 34 cm ⇒ 17x = 34 cm ⇒ x = 2 cm Diagonals are 14 cm and 48 cm If the two diagonals of rhombus ABCD intersect at O then, ⇒ AO2 + BO2 = AB2 ⇒ (14/2)2 + (48/2)2 = AB2 ⇒ 49 + 576= AB2 ⇒ AB2 = 625 ⇒ AB= 25 cm Perimeter of the rhombus = 4× 25 ⇒ 100 cm ∴If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. |
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