If the area of a rectangle is 4xsquare+4x-3,then its possible dimensions are
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Step-by-step explanation:
(2x-3)(2x+1)
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If the area of a rectangle is (4x² + 4x - 3), then its possible dimensions are (2x + 3) and (2x - 1).
Tips:
We know that the area of rectangle is given by the product of its length and width.
That is, area = length × width
Step-by-step explanation:
Given, area of the rectangle = 4x² + 4x - 3
= 4x² + (6 - 2)x - 3
= 4x² + 6x - 2x - 3
= 2x (2x + 3) - 1 (2x + 3)
= (2x + 3) (2x - 1)
This looks similar to Area = Length × Width and thus length = 2x + 3 and width = 2x - 1.
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