On a map scale is shown is 1 inch equals 5 miles. If an island is 2.5 in.² on the map what is the actual area of the island

1 in^2 = 5 mi * 5 mi = 25 mi^2

2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2

Well, if 1 inch on the map is equal to 5 miles, then we can calculate the actual area of the island by multiplying the area on the map (2.5 in.²) by the scale factor squared (5 miles/inch)². So, let me grab my calculator... Oops! Looks like I dropped it! Just kidding. Let's do the math:

2.5 in.² * (5 miles/inch)² = 2.5 * 25 = 62.5 square miles.

So, the actual area of the island is 62.5 square miles.

To find the actual area of the island, you need to convert the area on the map to the corresponding actual area using the map scale.

Given that 1 inch on the map represents 5 miles, and the island is 2.5 square inches on the map, you can calculate the actual area by multiplying the square inches by the square of the scale factor.

The scale factor is calculated by converting 1 inch to miles using the map scale. Since 1 inch represents 5 miles, the scale factor is 5 miles/inch.

Now, let's calculate the actual area of the island:

1. Calculate the scale factor:
Scale factor = 5 miles/inch

2. Convert the area on the map to the actual area:
Actual area = (2.5 square inches) × (scale factor)^2

Actual area = (2.5 square inches) × (5 miles/inch)^2

Actual area = 2.5 × (5 miles)^2 / (1 inch)^2

3. Simplify the units:
Since both the numerator and denominator contain square inches, they cancel out, and you're left with square miles.

Actual area = 2.5 × 5^2 square miles

Actual area = 2.5 × 25 square miles

Actual area = 62.5 square miles

Therefore, the actual area of the island is 62.5 square miles.

To find the actual area of the island, we need to convert the map scale to actual scale.

In this case, the map scale is given as 1 inch equals 5 miles. This means that every inch on the map represents 5 miles in actual distance.

Now, we can use this scale to convert the dimensions of the island on the map to actual distance.

Given that the island is 2.5 square inches on the map, we need to find the actual area of the island.

Since the area is measured in square units, we need to square the conversion factor.

So, for every inch on the map, we have 5 miles in actual distance. Therefore, the conversion factor is 5 miles/inch.

To find the area in actual distance, we square this conversion factor:

(5 miles/inch)² = 5 miles/inch * 5 miles/inch = 25 square miles/inch²

Now we can use this conversion factor to find the actual area of the island:

Actual Area = Map Area * Conversion Factor

Actual Area = 2.5 square inches * 25 square miles/inch²

Actual Area = 62.5 square miles

Therefore, the actual area of the island is 62.5 square miles.