Since area on map is similar to area of the refuge, therefore, the area of the refuge on the map is: 2 in².
Area of Similar Shapes?
The ratio of the area of similar shapes equals the square of the ratio of their corresponding dimension.
Thus:
Ratio of their dimensions is given as, 1 inch : 5 miles
Let area of the refuge on map be represented as x.
Therefore:
Area of the refuge on map/Area of wildlife refuge = 1²/5²
Substitute
x/50 = 1/25
x = 50/25
x = 2 in²
Therefore, since area on map is similar to area of the refuge, therefore, the area of the refuge on the map is: 2 in².
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