Question

A piece of land in the shape of a trapezium is drawn on a map using the scale 1:500. The parallel sides are 5 cm and 2 cm, while the perpendicular distance between parallel sides is 4 cm. what is the actual area of the plot in square meter?

Answer 1

the map figure has area

a = (5+2)/2 * 4 = 14 cm^2

The area is 14 * 500^2 cm^2

Now just convert that to m^2

Answer 2

35m^2

Answer 3

First, we need to convert the area from cm^2 to m^2.

1 cm^2 = (1/100)^2 m^2

1 cm^2 = 0.0001 m^2

So, the area of the plot in m^2 would be:

A = 14 * 500^2 * 0.0001 m^2

A = 3.5 m^2

Therefore, the actual area of the plot is 3.5 square meters.