# Fred is given a rectangular piece of paper. If the length of Fred's piece of paper is represented by 2x -6 and the width is represented by 3x -5, then the paper has a total area represented by?

Nov 20, 2016

The area would be length times width

#### Explanation:

$A = \left(2 x - 6\right) \left(3 x - 5\right)$

Work this out by FOIL:
$A = 2 x \cdot 3 x + 2 x \cdot \left(- 5\right) + \left(- 6\right) \cdot 3 x + \left(- 6\right) \cdot \left(- 5\right)$
$A = 6 {x}^{2} - 10 x - 18 x + 30$

$A = 6 {x}^{2} - 28 x + 30$

Note : for this to be a real piece of paper $x > 3$