21%
The side of the square is originally measured to be s. With a 10% increase in measurement, the side length becomes s + 0.1s = 1.1s.
To find the change in the area:
The original area A_o of the square is given by:
A_o = s²
The new area A_n with the increased side is:
A_n = (1.1s)² = 1.21s²
Now, calculate the change in area:
Change in area = New area - Original area
= 1.21s² - s² = 0.21s²
The percentage error in the area is given by:
\[ \text{Percentage Error} = \left(\frac{\text{Change in Area}}{\text{Original Area}}\right) \times 100\% \]
\[ = \left(\frac{0.21s²}{s²}\right) \times 100\% \]
= \[ 0.21 \times 100\% = 21\%\]
Therefore, the resultant percentage error in the area of the square is 21%.
Important Questions from Miscellaneous (APSC)
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(i) The tea garden community migrated from Central India in the 19th century to work in the tea gardens of Assam.
(ii) Jhumur dance originates from the Sadan ethnolinguistic group of the Chota Nagpur region.
(iii) The songs sung during Jhumur performances often depict the struggles of tea plantation workers. They narrate stories of migration and exploitation, depicting the community's socio-economic challenges.
(iv) Jhumur dance plays a vital role in tea garden festivals, particularly during Tushu Puja and Karam Puja, which celebrate the harvest time. Which of the above statements is/ are not correct?
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