Find the area of a rectangle whose length is x + 4 inches and whose width is 2x + 1 inches. Write your answer in the correct order!

2x^2+9x+4

Answer: the area is 2x² + 9x + 4

Step-by-step 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