Quantity I A rectangular path of width 3 m is made outside around a rectangular park of perimeter 90...........

Quantitative Aptitude ( CCS) Arithmatic inequalities

Quantity I: A rectangular path of width 3 m is made outside around a rectangular park of perimeter 90 m. The ratio of length and breadth of rectangle is 32:13. Find the area of path.

Quantity II: Find the area of rectangle of perimeter of 72 m having ratio of length and breadth as 11:7.

Quantity I < Quantity II

No relation.

Quantity I > Quantity II

Quantity II > Quantity I

Quantity I >= Quantity II

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Explanation:

From I: 2(32x+13x) = 90
=> x = 1
length = 32
Breadth = 13
Area of required path = (32+3*2) (13+2*3) – 32*13 = 306 m^2
From II: 2(11x+7x) = 72
=> x = 2 length = 22 m
Breadth = 14 m
Area of the rectangle = 22*14 = 308 m^2
Quantity II > Quantity I

Hence, option 4 is the correct answer.