Calculate the perimeter of a rectangle whose area is 25x2 – 36y² + 12.
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Answer:
Given,
Area of rectangle = 25x2 – 35x + 12.
We know, area of rectangle = length × breadth.
So, by factoring 25x2 – 35x + 12, the length and breadth can be obtained.
25x2 – 35x + 12 = 25x2 – 15x – 20x + 12.
=> 25x2 – 35x + 12 = 5x(5x – 3) – 4(5x – 3)
=> 25x2 – 35x + 12 = (5x – 3)(5x – 4)
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