Arithmetic Aptitudes › Area › Question #5336
Single Choice Moderate

QDetermine the percentage change in the area of a square if each side is increased by 16%.

ID: #5336 Area 209 views
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#5336Q ID
ModerateDifficulty
AreaTopic
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  • A 34.56 % ✔ ✖
  • B 32.43 % ✔ ✖
  • C 29.45 % ✔ ✖
  • D 45.24 % ✔ ✖
Correct Answer

Explanation


Let each side of the square be X. Then, area = X^2.
New side =(116X/100) =(29X/25). New area = (29X/25)^2
Increase in area = (29X/25)^2 - X^2 =841/625X^2 - X^2=216/625X^2
⇒ Increase% = [(216/625X^2x1/(X^2))*100] % = 34.56%.
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