What is the percentage increase in the area of square if each of its sides is increased by 10%?
A. 10% Show
B. 21% C. 44% D. 100% Solution(By Examveda Team) Let the original length of sides be x If each side of a square is increased by 10%, then what percentage of its area will be increased?
Answer (Detailed Solution Below)Option 3 : 21% Free Official Paper 2: Tripura TET 2019 Paper 2 (Maths & Science) 150 Questions 150 Marks 150 Mins Given: Side of a square increased = 10% Formula
used: % increase = (Increase/Original Number) × 100 Area of square = side2 Calculations: Area of a square with side a = a2 After increasing percentage of side a by 10% = a + 10% of a ⇒ a(1 + 10/100) = a(1 + 1/10) ⇒ a(11/10) = 11a/10 Area of the square after increasing side by a = (11a/10)2 ⇒ (11a/10) × (11a/10) = 121a2/100 ⇒ 1.21a2 Percentage change in area of square =[(1.21a2 - a2)/a2] × 100 ⇒ [a2(1.21 - 1)/a2] × 100 = 0.21 × 100 ⇒ 21% ∴ Percentage change in area of square is 21% Alternate Method Percentage increase in a regular polygon = x + y + (xy/100) In square length and breadth are same, x = y Percentage increase = x + x + (xx/100) ⇒ 2x + x2/100 = 2 × 10 + 10 × 10/100 ⇒ 20 + 1 = 21% ∴ The required percentage is 21% Latest Tripura TET Updates Last updated on Sep 22, 2022 The Teachers Recruitment Board, Tripura, is expected to release the notification for Tripura TET (Teacher's Eligibility Test) very soon. The Tripura TET Exam includes two papers. Paper-I is for the aspirant intending to be a teacher for Class-I to V and Paper-II for Class-VI to VIII. As Tripura TET does not have any age limit, it might be a golden opportunity for many government job aspirants. The aspirants must go through the Tripura TET Eligibility Criteria to match their eligibility as per the need of the exam. Ace your Quantitative Aptitude and Mensuration preparations for Plane Figures with us and master Square for your exams. Learn today! Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Solution The correct option is A Let the length of side square be 10 units Its area = (10units)2 = 100 sq. units Now, sides increases by 25% New side = 10 + 10 × 24100 = 10 + 2.5 = 12.5 units. Change in area = (12.5 units)2–(10 units)2 = 156.25 sq. units – 100 sq. units = 56.25 sq. units Percentage change = 56.25100 × 100% = 56.25%Textbooks Question Papers Home How much percentage area of a square will increase if its side is increased by 10%?=0.21×100%=21%
How do you find the percentage increase of an area?Calculating percentage increase and decrease. work out the difference between the two numbers being compared.. divide the increase by the original number and multiply the answer by 100.. in summary: percentage increase = increase ÷ original number × 100.. What will be the percentage increase in the area of a square if its side is increased?So % change area of new and old square=100002100×100=21%
What is the percentage increase in the area of Ractangle if each of its sides is increase by 20 %?⇒ Percentage increase in area = 44. So, we have found the percentage increase in area as 44%.
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