Answer:
The length of the rectangle is given as:
(9x + 6)
Explanation:
The area of a rectangle is given as:
Length × Width
Area of the rectangle = 45x² − 42x − 48
Width = 5x - 8
We solve for the length of the rectangle by factorising the area of the rectangle
45x² − 42x − 48
45x² - 72x + 30x - 48
(45x² - 72x )+ (30x - 48)
9x(5x - 8) + 6(5x - 8)
(5x - 8)(9x + 6)
Therefore:
The length of the rectangle is given as:
(9x + 6)