On a map, 1cm represents an actual distance of 75m. Find the area of a piece of land that is represented on the map by a rectangle measuring 11.5cm by 18.5cm.

Question

This problem is a direct variation problem.

Answer 1

1/75 = 11.5/x    So, x = (75)(11.5) = 862.5 m

 

1/75 = 18.5/y    So, y = (75)(18.5) = 1387.5 m 

 

Area of piece of land = xy = 1,196,718.75 m²