Question : If each side of a square is decreased by 17%, then by what percentage does its area decrease?
Option 1: 25%
Option 2: 30.79%
Option 3: 31.11%
Option 4: 44.31%

Question

Question : If each side of a square is decreased by 17%, then by what percentage does its area decrease?

Option 1: 25%

Option 2: 30.79%

Option 3: 31.11%

Option 4: 44.31%

Team Careers360 · Accepted Answer

Correct Answer: 31.11%

Solution : Let the side of the square be 100.
After decrement of 17% = 83
Initial area = $(side)^2$
= $100^2$
= 10000
Area after decrement = $83^2$
= 6889
Difference in areas = 10000 – 6889 = 3111
Decrease in area (in percentage) = $\frac{ ext{Decrease in area}}{ ext{Initial area}} imes100$
= $\frac{3111}{10000} imes100$
= 31.11%
Hence, the correct answer is 31.11%.

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Question : If each side of a square is decreased by 17%, then by what percentage does its area decrease?Option 1: 25%Option 2: 30.79%Option 3: 31.11%Option 4: 44.31%

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Question : If each side of a square is decreased by 17%, then by what percentage does its area decrease?
Option 1: 25%
Option 2: 30.79%
Option 3: 31.11%
Option 4: 44.31%