What will be the increase in area of an equilateral triangle if the side in increased by 20 %?
|
Correct Answer - Option 2 : 44% Show
Given: The sides of an equilateral triangle are increased by 20%. Formula used: Area of an equilateral triangle = (√3/4)a2 Where, a = side of an equilateral triangle Percentage = part value/original value × 100 Calculation: Let the side of the equilateral triangle be ‘a’. Area of an equilateral triangle with side ‘a’ ⇒ (√3/4)a2 Side increased by 20% New side = a × (120/100) ⇒ (6/5)a Area of an equilateral triangle with new side ⇒ (√3/4)(6a/5)2 ⇒ (9√3/25)a2 Change in area ⇒ (9√3/25)a2 – (√3/4)a2 ⇒ (11√3/100)a2 Percentage increase ⇒ [(11√3/100)a2]/[(√3/4)a2] × 100 ⇒ 44% ∴ The area of the triangle increase by 44%. Table of Contents
⇒ Percentage increase in area = 44. So, we have found the percentage increase in area as 44%. So, the correct answer is “Option c”. What percentage change is made in the area of a rectangle by decreasing its length and increasing its breadth by 15% and 20% respectively?Let L, B & A be the initial length , breadth & area respectively of the rectangle. Hence, increase in area = (108/100 -1). l.b = 8/100*lb = 8% . Ans. What is the percentage change in the area of a rectangle if the length is increased by 5% and the breadth is decreased by 5%?If length of a rectangle decreased by x% and the breadth of a rectangle increased by y% then area will be %. Negative sign for decrease in length. Hence, the area of the rectangle decrease by -0.25 %. What is the change in the area of a rectangle when its length increases by 10% and its width decreases by 10%?pzazz12 wrote: What is the % change in the area of a rectangle when its length increases by 10% and its width decreases by 10%? % change in the area of a rectangle when its length increases by 10% and its width decreases by 10%. Hence, the correct answer is option D. What is the percentage change in the area of a rectangle?Initial area = 8000. New length = 110 and new breadth = 96. Therefore, the new area = 10560. The percentage change in the area = ((10560 – 8000) / 8000) * 100 = 32. What is the percentage increase in the area of a rectangle if each of its sides is increased by 10 %?Hence, Increase % =(11/25xy × 1/xy × 100)%= 44%. How do you find the percentage increase of an area?To calculate the percentage increase:
What will be the percentage increase in the area of a square if its side is increased by 20?Answer. the area is increased bu 44%. What will be increase in area of an equilateral triangle if its side is increased by 20?The sides of an equilateral triangle are increased by 20%. Calculation: Let the side of the equilateral triangle be ‘a’. ∴ The area of the triangle increase by 44%. How much area is increased when sides of an equilateral triangle are increased by 10%?Now, New side of equilateral traingle = x + 110/100 = 11/10x. Area of New equilateral triangle = √3/4 × 121/100 x². = 21. What will be increase in area of equilateral triangle?Thus, there is 1.25 times increase in the area of the triangle. Therefore, the percentage increase is 125%. Is the height of a triangle is decreased by 40% and its base is increased by 40% What will be the percentage change in its area?Considering the original area to be equal to A as 100% then the percentage decreased area becomes equal to 84%. Therefore, the percentage change in area of the triangle is equal to 16%. What h increased by 40 is?Solution(By Examveda Team) Let the height be h and base be b. So, base will increase by 1/7th of b=14.28%. What is the percentage decrease in the area of a triangle if its each side is halved?s’-c’) = (s-c)/2. New area A’ = square root of [s(s-a)(s-b)(s-c) /16. = A/ 4. This discussion on Find the percentage decrease in the area of the triangle if sides reduced to half? is done on EduRev Study Group by Class 9 Students. How many times area of a triangle is changed when the sides of the triangle are halved?The area of a triangle can be expressed in terms of two sides and the included angle as 12absinC – this is proved by noting that if a is the base, then the height is bsinC. The angle stays the same, while the two sides are halved, giving a factor of 14 for the area. What happens to the area of a triangle if its sides are doubled?If the length of the sides becomes double so does the height. As base and height are becoming double the new area is 4 times the original area. When the length of the sides of a triangle double, the area becomes quadruple. When side of triangle is doubled then area?Now according to the questions, if the sides of the triangle are doubled i.e. it will become 2a,2b,2c. Let us suppose s′ be the sides of the semi perimeter of a triangle. Therefore the ratios of A′:A=4:1. And hence 4:1 will be the ratio of the area of the new triangle and the old triangle. What is the percent increase in area of a square if its side is increased by 10%?21% What will be the percentage increase in the area of a square if its side is increased by?=21% What will be increase in area of an equilateral triangle if its side is increased by 20 %?What will be the increase in area of an equilateral triangle if its side is increased by 100%?%change in area=300% Was this answer helpful?
What will be the increase in area of equilateral triangle?First we need to find the length of the sides of new triangle. Hence, the percentage increase in the area of the equilateral triangle is 800%.
What is the percentage increase in the area of a triangle if each of its side is doubled?So the percentage increase in the area of a triangle if each side is doubled is 300%.
What is the percentage increase in the area of a rectangle if its length is increased by 20?Increase in the area of the rectangle is 44%. After 20% increase in Length and Breadth, (120/100*L)*(120/100*B) = 144/100*LB . Hence, increase in area = 144/100*LB - LB = 44/100*LB = 44% Ans.
|
