Direction: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and Read both the statements and give answer
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The area of a rectangle is equal to the area of a right- angled triangle. What is the length of the rectangle?
I. The base of the triangle is 40 cm.
II. The height of the triangle is 50 cm.
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- If the data in statement I alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- If the data either in statement I alone or in statement II alone are sufficient to answer the question.
- If the data even in both statements I and II together are not sufficient to answer the question.
- If the data in statement I alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
Correct Option: D
On the basis of above given details in question , we can say that
From statement I , The base of the triangle ( b ) = 40 cm.
From statement II , The height of the triangle ( h ) = 50 cm
According to question ,
area of a rectangle = area of a right- angled triangle
L x B = ( 1 / 2 ) x b x h
Combining both statements , we get
L x B = ( 1 / 2 ) x 40 x 50 ⇒ L x B = 20 x 50 = 1000 cm2
Since without knowing the breadth of the rectangle, length of the rectangles cannot be determined.
