Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The side of a rhombus is 25 m, and one of its diagonal is 30 meters. What is its area?

 

Options:

600 sq m

500 sq m

400 sq m

300 sq m

Correct Answer:

600 sq m

Explanation:

Applying Pythagoras theorem: (25)2 - ( \(\frac{ 30}{ 2}\) )2 =  (half of 2nd diagonal)2

625 - (15)2 = (half of 2nd diagonal)2

625 - 225 = (half of 2nd diagonal)2

400 = (half of 2nd diagonal)2

20 = half of diagonal

Thus, we can say that length of the diagonal is 40 m

Area of a rhombus = \(\frac{ 1}{ 2}\) x D1 x D2

Area = \(\frac{ 1}{ 2}\) x 30 x 40

Area = 600 sq m