Question
The area of an equilateral triangle increases by 16β3
square units when the length of each side is increased by 4 units. What is the original perimeter of the triangle?Solution
Let length of each side of the equilateral triangle = βxβ units After increment, length of each side of the equilateral triangle = (x + 4) units According to the question, (β3/4) Γ (x + 4)2Β β (β3/4) Γ x2Β = 16β3 Or, (β3/4) Γ [(x + 4)2Β β x2)] = 16β3 Or, (1/4) Γ [x2Β + 16 + 8x β x2)] = 16 Or, (1/4) Γ (16 + 8x) = 16 Or, 16 + 8x = 64 Or, 8x = 48 Or, x = 6 Therefore, original perimeter of the equilateral triangle = 3x = 6 Γ 3 = 18 units
480, 288, ?, 103.68, 62.208, 37.3248
What will come in place of the question mark (?) in the following series?
4, 11, 32, 95, 284, 851, ?
What will come in place of the question mark (?) in the following number series?
29, 30, 33, ?, 69, 150
64, 80, 120, 210, ?,Β 945
562, 628, 698, ?, 850
3, 10, 29, 66, ?
Which of the following number will replace the question mark (?) and complete the given number series?
4, 5, 12, 39, 160, ?
What will come in place of the question mark (?) in the following series?
15, 90, 450, ?, 5400, 10800Β
16, 8, 8, 12, ?, 60
What will come in place of the question mark (?) in the following series?
12, 13, 27, ?, 329, 1646