**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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