Question
Area of a rectangle is 96 m2 When the length
of the same rectangle increased by 6 m and the breadth decreased by 3 m, then the area of the rectangle decreases by 30 m2 . What is the perimeter of a square whose sides are equal to the length of rectangle?Solution
Area of rectangle = 96 lb = 96 ….(i) According to question lb – (l + 6) (b - 3) = 30 => lb-lb + 3l – 6b + 18 = 30 => 3l-6b = 12 => l - 2b - 4 = 0 => l = 2(b + 2) …(ii) By solving equations (i) and (ii), we get l = 16m, b = 6m The side of square = l = 16m Perimeter of a square = 4 × 16 = 64 mÂ
I. 3x² - 22 x + 40 = 0 Â
II. 4y² + 22y + 24 = 0  Â
I). p2 - 20p + 51 = 0,
II). 2q2 - 7q + 6 = 0
I. 35x² - 24x – 35 = 0
II. 72y² - 145y + 72 = 0
I. 2x² - 15x + 27 = 0
II. 2y² - 13y + 20 = 0
I. 5x² + 17x + 6 = 0                     Â
II. 2y² + 11y + 12 = 0
...l). p² - 29p + 204 = 0
ll). q² + 4q - 221 = 0
I. 63x2 + 148x + 77 = 0
II. 21y2 + 89y + 88 = 0
I:Â x2Â - 33x + 242 = 0
II:Â y2Â - 4y - 77 = 0
If x and y satisfy x² + y² = 25 and x + y = 7, find xy.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 38x + 352 = 0
Equation 2: y² - 38y + 312 = 0
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