If 1 inch on a map is 40 miles, what area must be searched in a \(2.5 \times 3\)inch grid?
Explanation
The scale is 1 inch: 40 miles
Convert the given lengths in inches to miles using the scale:
\(2.5 \text { inches } \times 40 \text { miles } / \text { inch }=100 \text { miles }\)
\(3 \text { inches } \times 40 \text { miles } / \text { inch }=120 \text { miles }\)
Solve for the area of the grid:
\(\text { Area }=L \times W=120 \times 100=12,000 \text { square miles }\)