. A map has the scale 1 inch = 10 miles. On the map, the area of Big Bend National Park in Texas is about 12.5 square inches. Estimate the actual area of the park in acres. (Hint: 1 square mile = 640 acres)
1in = 10 miles
(1 in)^2 = 1 in^2 = (10 miles)^2 = 100mi^2
So
12.5 in^2 = 12.5 (100 mi ^2) = 1250mi^2
So 1250mi^2 x 640 acres/mi^2 = 800,000 acres
You take the square root of 12.5 =3.5355......Inches on the map(being one dimention).
3.5355... x 10 =35.355......Miles - one dimention of the park.
35.355.... x 35.355..... =1,250 sq.miles -the area of the park.
1,250 x 640 =800,000 acres - the area of the park.
