Aptitude - Area - Discussion
Discussion Forum : Area - Data Sufficiency 1 (Q.No. 2)
Directions to Solve
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. |
Answer: Option
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).
Discussion:
8 comments Page 1 of 1.
Arc said:
1 decade ago
can anybody explain why the data is not sufficient as only the length is asked?
Ram said:
1 decade ago
Can't height of triangle be the length of rectangle? Sorry that the answer to the question would be E.
Pragnya said:
1 decade ago
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!
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:
7 years ago
I think the correct answer is E.
Punni said:
5 years ago
But why are we considering the area of the triangle as 1/2 x b x h?
This is the area of only one triangle. And as said in the question, Area of a rectangle is equal to the area of right-"angles" triangle. So according to me the area of the triangle should be multiplied by 2 which becomes 2 (1/2 x b x h) = b x h.
This is the area of only one triangle. And as said in the question, Area of a rectangle is equal to the area of right-"angles" triangle. So according to me the area of the triangle should be multiplied by 2 which becomes 2 (1/2 x b x h) = b x h.
Sanjit barman said:
4 years ago
@All.
As per the question,
We are given two figures Rectangle and Triangle and they are independent.
We can determine it as said that Area of rectangle=area of the triangle (not an area of two triangles),
So,
LB =1/2 XY.
where, L=length of the rectangle
B= breadth of the rectangle.
and
X=height of the triangle.
Y=base of the triangle.
Now,
LB= 50 * 40/2
LB = 1000
L = 1000/B.
I hope you guys are now more clear.
Thank you
As per the question,
We are given two figures Rectangle and Triangle and they are independent.
We can determine it as said that Area of rectangle=area of the triangle (not an area of two triangles),
So,
LB =1/2 XY.
where, L=length of the rectangle
B= breadth of the rectangle.
and
X=height of the triangle.
Y=base of the triangle.
Now,
LB= 50 * 40/2
LB = 1000
L = 1000/B.
I hope you guys are now more clear.
Thank you
Vamsi said:
3 years ago
I agree with you @Pragnya.
Vamsi said:
3 years ago
@All.
Area of Rectangle= Area of Right Triangle
Base * Length = 1/2 * Base* Height 50/2 = 25cm,
then Length= 1/2 Height.
Area of Rectangle= Area of Right Triangle
Base * Length = 1/2 * Base* Height 50/2 = 25cm,
then Length= 1/2 Height.
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