eqquation for an regtanle which has area 144cm
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Given that: Perimeter of rectangle = 44 cm Area of rectangle = 105 cm2 Length of rectangle = x cm. Now, perimeter of rectangle =2 (length + breadth) = 44 → 2 (x + breadth) = 44 - x + breadth = 22 - breadth of the rectangle = 22 - x Again, area of rectangle = 105 cm2 length x breadth = 105 → xx (22 - x) = 105 %3D - 22x - x2 = 105 → x2 - 22x + 105 = 0 → x2 - 15x -7x + 105 = 0 (x - 15)(x - 7) = 0 - x = 15 or 7 When x = 15,
breadth of the rectangle = 22 - x = 22 - 15 = 7 cm and when x = 7,
breadth of the rectangle = 22 - x = 22 -7= 15 cm
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