The calculated area and perimeter of the rectangle are 10x⁴ + 6x³ - 2x² and 14x² + 6x - 2, respectively
How to determine the area and perimeter of the rectangle
From the question, we have the following parameters that can be used in our computation:
Length = 2x²
Width = 5x² + 3x - 1
The area is calculated as
Area = Length * Width
Substitute the known values into the equation
Area = 2x² * (5x² + 3x - 1)
Evaluate
Area = 10x⁴ + 6x³ - 2x²
The perimeter is calculated as
Perimeter = 2 * (Length + Width)
Substitute the known values into the equation
Perimeter = 2 * (2x² + 5x² + 3x - 1)
Perimeter = 2 * (7x² + 3x - 1)
Evaluate
Perimeter = 14x² + 6x - 2
Hence, the area and perimeter of the rectangle are 10x⁴ + 6x³ - 2x² and 14x² + 6x - 2, respectively
Question
Find the area and perimeter of the rectangle below.