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molly plans on mowing in a rectangular-shaped plot of land on her farm. The length of the plot measures 6x^2 + 3x feet, and the width measures 2x^3 feet. What is the area of the plot of land that Molly is going to mow?

User Erszcz
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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.

User Jarikus
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