CAT Exam Model Paper 2 with solutions for free online practice

Question : 86 of 100

Marks: +1, -0

There is a square field of side 500 m long each. It has a compound wall along its perimeter. At one of its corners, a triangular area of the field is to be cordoned off by erecting a straight-line fence. The compound wall and the fence will form its borders. If the length of the fence is 100 m, what is the maximum area that can be cordoned off?

2,500 sq m
5,000 sq m
10,000 sq m
20,000 sq m

Validate

Solution:

= { 1 }/ { 2 } ×{ 100 } /{√ { 2 } } × { 100 } /{√ { 2 } } = 2,500

sq m
Area of a ∆ is maximum when it is an isosceles ∆.
So, perpendicular sides should be of length

100/√2

Go to Question:

Prev Question

Next Question