Questions: What are the correct units for the area of the region? There may be more than one correct answer.
i. mi^3
ii. Square miles
iii. Miles
iv. mi^2
Transcript text: What are the correct units for the area of the region? There may be more than one correct answer.
i. $\mathrm{mi}^{3}$
ii. Square miles
iii. Miles
iv. $m i^{2}$
Solution
Solution Steps
To determine the correct units for the area of a region, we need to identify units that represent two-dimensional space. Area is typically measured in square units.
Step 1: Identify Units for Area
To determine the correct units for the area of a region, we need to identify units that represent two-dimensional space. Area is typically measured in square units.
Step 2: Evaluate Each Option
Option i: \(\mathrm{mi}^{3}\) represents cubic miles, which is a unit of volume, not area.
Option ii: "Square miles" explicitly indicates a two-dimensional measurement, which is appropriate for area.
Option iii: "Miles" is a linear measurement, not suitable for area.
Option iv: \(mi^{2}\) is another way to denote square miles, which is appropriate for area.
Final Answer
The correct units for the area of the region are \(\boxed{\text{Square miles}}\) and \(\boxed{mi^{2}}\).