Question

scale: 1 inch : 5 miles what is the actual area of the section of land? blueprint area 3.2 in² actual area? mi²

Explanation:

Step1: Find the ratio of actual - to - blueprint area

The scale for length is 1 inch : 5 miles. For area, the ratio of actual area to blueprint area is the square of the ratio of actual length to blueprint length. Since the ratio of lengths is 5 miles per 1 inch, the ratio of areas is $(5)^2$ square miles per 1 square inch, which is 25 square miles per 1 square inch.

Step2: Calculate the actual area

Multiply the blueprint area by the area - ratio. The blueprint area is 3.2 in². So the actual area $A$ is given by $A=3.2\times25$.
$A = 80$ mi²

Answer:

80