Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The difference between the length and breadth of a rectangle is 25 meters. If the perimeter of this rectangle is 210 meters, what is its area?

Options:

3600 Sq m

3000 Sq m

2600 SQ m

2000 Sq m

Correct Answer:

2600 SQ m

Explanation:

Length - Breadth = 25m  ..............1st equation

Perimeter [Perimeter = 2(l+b)] = 210m

Length + Breadth = 105m   .............. 2nd equation

Adding the 2 equations,

2 × length = 130

length = 65

Subtracting the 2 equations,

2 × breadth = 80

breadth = 40

Thus, the area = length x breadth = 65 x 40 = 2600 cm2