Final answer:
To calculate the area of the rectangular section of wilderness, we multiply its length (5*10^5 meters) by its width (4*10^4 meters), resulting in an area of 20*10^9 square meters. If expressed as a square with the same area, the side length would be approximately 141421.356 meters.
Step-by-step explanation:
The question involves finding the area of a piece of land, which is a mathematical geometry problem. To calculate the area of a rectangle, multiply the length by the width. Given the dimensions 5*105 meters (5 times 10 to the power of 5 meters) and 4*104 meters (4 times 10 to the power of 4 meters), the area in square meters will be:
Area = Length × Width
Area = (5 × 105m) × (4 × 104m)
Area = (5 × 4) × (105 × 104)
Area = 20 × 109m2
The area is therefore 20 × 109 square meters. If the student also needs to know how large the array would need to be if expressed as a square of the same area, we would need to find the side length of a square where the area is 20 × 109 m2. The side of such a square can be found by taking the square root of the area:
Side length = √(Area)
Side length = √(20 × 109m2)
Side length ≈ 141421.356 m