Final answer:
The area of Molly's rectangular-shaped plot of land is 12x^5 + 6x^4 square feet. This is found by multiplying the length (6x^2 + 3x feet) by the width (2x^3 feet).
Step-by-step explanation:
The student is asking to calculate the area of a rectangular-shaped plot of land. To get the area of a rectangle, you multiply the length by the width. The given length of the plot is 6x^2 + 3x feet, and the width is 2x^3 feet.
Therefore, the area A can be calculated as follows:
A = length × width
A = (6x^2 + 3x) × 2x^3
Now distribute the 2x^3 across the terms in parentheses:
A = 12x^5 + 6x^4
The area of the plot that Molly is going to mow is 12x^5 + 6x^4 square feet.