Mathematics

Question

A map has the scale 2 centimeters = 1 kilometer. on a map, the area of a forest preserve is 3.8 square centimeters. what is the area of the actual forest preserve

1 Answer

  • we know that
    the scale is 2 cm/1 km
    on a map, the area of a forest preserve is 3.8 cm²
    assuming it has a square shape
    the length side of the square is 
    √3.8 cm
    so
    if 2 cm on a map-----------------> is a 1 km in the actual
     √3.8 cm------------------------> x
    x=√3.8/2 km

    the area of the actual forest preserve is
    (
    √3.8/2)*(√3.8/2)----> 3.8/4---> 0.95 km²

    the answer is
    0.95 km²