Question

Give possible expression for the length and the breadth of the rectangle,whose area is given = 6x²+5x-6

Answer 1

Answer:

6x^2+x-12

6x^2+9x-8x-12

3x (2x+3)-4 (2x+3)

(3x-4)(2x+3)

Answer 2

$\huge\underline{Given}$

AREA OF RECTANGLE=6x² + 5x–6

$\large\underline{FORMULA}$

$\large{Area\:=\:length\:×\:breadth}$

$\large\underline{According\:to\:question}$

Area = 6x² + 5x – 6

==> 6x² + 9x – 4x –6

==> 3x(2x + 3) –2(2x + 3)

==> (2x + 3)(3x – 2)

$\large\underline{THEREFORE}$

Length = (2x + 3)

Breadth = ( 3x – 2)

OR Breadth = (2x + 3); Length = (3x – 2)

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