Question

A scale on a map of a national park reads 1 inch equals 0.25 miles. The national park is roughly in the shape of a rectangle. If the map of the park is 12 inches tall and 8 inches wide, estimate the total area of the park.5 mi.224 mi.296 mi.26 mi.2

Answer 1

Solution:

Given:

$1in=0.25miles$

The map of the park has the dimensions;

$\begin{gathered} height=12in \\ width=8in \end{gathered}$

Using the scale of the map given, we get the actual length and width of the park.

$\begin{gathered} Actual\text{ length}=12\times0.25=3miles \\ Actual\text{ width}=8\times0.25=2miles \end{gathered}$

Since the park is roughly in the shape of a rectangle, the area of the park will be calculated using the area of a rectangle.

$\begin{gathered} Area\text{ of rectangle}=length\times width \\ \\ Hence,\text{ area of park}=3\times2=6mi^2 \end{gathered}$

Therefore, the estimated total area of the park is 6 square miles.