Current set IAS · 2000 Q143

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Q143 (IAS/2000) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics Answer Verified

Which one of the following has a greater perimeter than the rest ?

A

A square with an area of 36 sq cm

B

An equilateral triangle with a side of 9 cm

C

A rectangle with 10 cm as length and 40 sq cm as area

D

A circle with a radius of 4 cm

Result

Your answer: — · Correct: C

Explanation

Compute each perimeter. Square: area 36 ⇒ side = 6 cm, perimeter = 4×6 = 24 cm. Equilateral triangle: side 9 ⇒ perimeter = 3×9 = 27 cm. Rectangle: length 10 and area 40 ⇒ breadth = 40/10 = 4 cm, perimeter = 2(10+4) = 28 cm. Circle: radius 4 ⇒ circumference = 2πr ≈ 2×3.1416×4 ≈ 25.13 cm. Comparing these values shows the rectangle has the greatest perimeter (28 cm). The same computations and numeric comparisons are recorded in the provided source, which lists the square 24 cm, triangle 27 cm, rectangle 28 cm and circle ≈25.14 cm .

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Which one of the following has a greater perimeter than the rest ?

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