Question
The area of an equilateral triangle increases by 16√3
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 = ‘x’ units After increment, length of each side of the equilateral triangle = (x + 4) units According to the question, (√3/4) × (x + 4)2 – (√3/4) × x2 = 16√3 Or, (√3/4) × [(x + 4)2 – x2)] = 16√3 Or, (1/4) × [x2 + 16 + 8x – x2)] = 16 Or, (1/4) × (16 + 8x) = 16 Or, 16 + 8x = 64 Or, 8x = 48 Or, x = 6 Therefore, original perimeter of the equilateral triangle = 3x = 6 × 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, ?, 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, 10800
16, 8, 8, 12, ?, 60
What will come in place of the question mark (?) in the following series?
12, 13, 27, ?, 329, 1646
