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

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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Mensuration: The area of a rectangle and the square. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

## CAT 2018 - Slot-2 - Mensuration - Question-3- The area of a rectangle and the square

Q. 3: 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
1. 1:4
2. 2:9
3. 1:3
4. 3:8

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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