Answer:
5cm
Step-by-step explanation:
A rectangle is a quadrilateral (4 sided polygon) with 2 opposite sides parallel and equal.
Area of a rectangle = length x breadth
Given that length = (2x - 1) , breadth = ( x + 2), Area = 63cm².
Since area = length x breadth
Area = (2x - 1) x ( x + 2)
(2x - 1)(x + 2) = 63
Expand the bracket
2x (x + 2) -1 ( x + 2) = 63
2x² + 4x - x - 2 = 63
2x² + 3x - 2 = 63
2x² + 3x -2 -63 = 0
2x² + 3x - 65 =0
We'll Solve the quadratic equation, we can solve using factorisation method.
Factor of -130 that is (- 65 x 2) that add up to +3 the coefficient of x
Factors = 13 and -10
Rewrite equation
2x² - 10x + 13x - 65 = 0
Factorise
2x(x - 5) + 13 ( x - 5) = 0
2x + 13 = 0 or x - 5 = 0
2x = -13 or x = 5
Since we can't have a negative length then x = 5cm
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