The length and breadth of a rectangle are (2x -1) cm and (x + 2) cm respectively. If the area of the rectangle is 117 cm^2, find : the value of x, *
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Answer:
x = 7
Step-by-step explanation:
Area of Rectangle = length × breadth
Here l = (2x - 1) and b = (x + 2)
=> (2x - 1)(x + 2) = 117
=> 2x² + 3x - 2 = 117
=> 2x² + 3x - 119 = 0
=> 2x² + 17x - 14x - 119 = 0
=> x(2x + 17) - 7(2x + 17) = 0
=> (2x + 17)(x - 7) = 0
=> x - 7 = 0 or 2x + 17 = 0 but cannot be negative
=> x = 7
Hence value of x is 7
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