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

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. $m i^{2}$
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Solution

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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 \(\boxed{mi^{2}}\).

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