Sure, let's break down the calculations step by step to determine if the area of Colorado is greater than or less than 100,000 square miles.
First, we need to calculate the area of Colorado given its dimensions.
1. The length of Colorado is 280 miles.
2. The width of Colorado is 380 miles.
To find the area of a rectangle, we use the formula:
[tex]\[ \text{Area} = \text{length} \times \text{width} \][/tex]
Plugging in the given dimensions:
[tex]\[ \text{Area} = 280 \text{ miles} \times 380 \text{ miles} \][/tex]
When we perform this multiplication:
[tex]\[ \text{Area} = 106,400 \text{ square miles} \][/tex]
Next, we compare this area with the threshold value of 100,000 square miles to determine if it's greater than or less than.
106,400 square miles is clearly greater than 100,000 square miles.
So, the area of Colorado is greater than 100,000 square miles.