Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

If P, R, T are the areas of parallelogram, a rhombus and a triangle standing on the same base and between the same parallel lines, then which of the following is true?

Options:

$R<P<T$

$P>R>T$

$R =P =T$

$R=P=2T$

Correct Answer:

$R=P=2T$

Explanation:

Parallelogram and Rhombus:

Both the parallelogram and the rhombus will have the same base and height since they are between the same parallel lines. Therefore, their areas will be the same.

Thus, P = R

Triangle:

The area of the triangle with the same base and height will be half of the area of the parallelogram or the rhombus.

Therefore, T = 1P/2

The correct answer is Option (4) → $R=P=2T$