# Aptitude - Area - Discussion

### Discussion :: Area - Data Sufficiency 1 (Q.No.2)

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

• Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
• Give answer (B) 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.
• Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
• Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
• Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

2.

 The area of a rectangle is equal to the area of right-angles 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.

 [A]. I alone sufficient while II alone not sufficient to answer [B]. II alone sufficient while I alone not sufficient to answer [C]. Either I or II alone sufficient to answer [D]. Both I and II are not sufficient to answer [E]. Both I and II are necessary to answer

Explanation:

Given: Area of rectangle = Area of a right-angles triangle. l x b = 1 x B x H 2

I gives, B = 40 cm.

II gives, H = 50 cm.

Thus, to find l, we need b also, which is not given. Given data is not sufficient to give the answer. Correct answer is (D).

 Arc said: (Jan 10, 2012) can anybody explain why the data is not sufficient as only the length is asked?

 Ram said: (Jun 22, 2014) Can't height of triangle be the length of rectangle? Sorry that the answer to the question would be E.

 Pragnya said: (Jan 9, 2015) Area of rectangle = Area of right angled triangle. l*b = 1/2 (b*h). (so b is given as 40 and h is given as 50. So substitute the both values in above formula). Hence, l*40 = 1/2(40*50). l = 40*50/2*40. l = 25. To prove the statement of area of rectangle is equal to right angled triangle you can just substitute in the formulas. Area of rectangle = l*b = 25*40 = 1000. Area of right angled triangle = 1/2(b*h) = 1/2(40*50) = 1000. Hence, both are equal the statement is proved. So the answer is E. Hope you guys understood!

 Kiran said: (Jan 9, 2019) I think the correct answer is E.