What will be the percentage increase in the area of a square when each of the its sides is increased by 25 %?
By what percent will the area of a square change if its side is increased by 10%? Show
Answer VerifiedHint: In this type of question we have to use formulas for the area of a square. We know that the area of the square is given by, \[Area={{\left( Side \right)}^{2}}\]. Here, we consider the length of the side of a square equal to say \[x\]. Then by using formulas we can obtain an area for a new square. As we have to find the percent increase in the area we will use \[\%\text{ }increase=\dfrac{New\text{ }Area-Old\text{ }Area}{Old\text{ }Area}\times 100\]. Complete step by step
solution: Note: In this type of question students may make mistakes in calculation of the new side, they have to remember to add the old side along with a percent increase to obtain the new side. Also, as the required result is in the form of percentage so that students have to calculate $\%$ increase in the area. If the side of a square is increased by 25%, then its area is increased by :A. 25% B. 55% C. 40.5% D. 58.25% Solution(By Examveda Team) Suppose length of sq is
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Post your comments here:Name *: Email : (optional) » Your comments will be displayed only after manual approval. Which side of a square is increased by 25%?New side =125a/100 =5a/4. New area = 5a/42 =25a2 /16. Increase in area = 25 a2 /16-a2 =9a2/16. Increase% = [9a2 /16*1/a2 *100] % = 56.25%.
What is the percentage increase in the area of square if each of its sides is increased by 10%?=0.21×100%=21%
What will be the percentage of increase in the area of a square when each of the its sides is increased by 10 %? A 20 B 11 C 121 D 21?Hence, the area of the square gets increased by 21% if its side is increased by 10%.
What is the percentage change in the area of a square when each side is increased by 20 %?percentage increase in are =44%
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