Answer: the area is 2x² + 9x + 4
Explanation:
The formula for determining the area of a rectangle us expressed as
Area = length × width
The rectangle has a length of x + 4 inches and width of 2x + 1 inches.
Therefore,
Area = (x + 4)(2x + 1)
We would open the brackets by multiplying each term in the first bracket with each term in the second bracket. It becomes
Area = 2x² + x + 8x + 4
Area = 2x² + 9x + 4