The area as the product is (x - 4)(5x + 6) and area as sum of its part is 5x² - 14x - 24
The area of a rectangle is expressed as:
Area = length * width
The perimeter is expressed as the sum of all its sides.
P = 2(length + width)
Given the following sides
length = x - 4
width = 5x + 6
Area = (x - 4)(5x + 6)
Area = 5x² + 6x - 20x - 24
Area = 5x² - 14x - 24
For the perimeter
P = 2(x-4+5x+6)
P = 2(6x + 2)
P = 12x + 4
Hence the area as the product is (x - 4)(5x + 6) and area as sum of its part is 5x² - 14x - 24