Quantitative Aptitude – Geometry – Mensuration – The area of a rectangle and the square

Slot -2 – Quantitative Aptitude – Geometry – Mensuration – The area of a rectangle and the square

The area of a rectangle and the square of its perimeter are in the ratio 1 ∶ 25. Then the lengths of the shorter and longer sides of the rectangle are in the ratio?

a) 1:3
b) 3:8
c) 2:9
d) 1:4

Answer: d) 1 : 4

Solution:
Given ratio of areas of rectangle and square = 1:25 = 4∶ 100=(1×4):(10×10)
Thus possible ratio of perimeter =(1+4)/(10+10) = 5/20= 1∶4

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