Final answer:
The total area of Maria's garden plot is calculated by multiplying the given length (2x²y⁶) by the width (2.5xy), resulting in an area of 5x³y⁷ square meters.
Step-by-step explanation:
To calculate the total area of Maria's garden, we multiply the length by the width.
The length given is 2x²y⁶ meters and the width is 2.5xy meters. The area of a rectangle is found by multiplying the length by the width, so we have:
Area = length × width
= 2x²y⁶ × 2.5xy
= 5x³y⁷ m²
This expression shows that the total area of Maria's garden plot is 5x³y⁷ square meters. When dealing with algebraic expressions in area calculations, it's important to multiply the coefficients (numerical values) and add the exponents of like variables to find the resulting area.