Question

The scale of map is 1:50000. what is the area of Dam which is represented on the map by an area of 3.5cm²

Answer 1

Answer:

The area of the dam = 175,000 cm^2

Explanation:

We know that the ratio of the map to the real area is

$\frac{\text{map}}{\operatorname{Re}al}=\frac{1}{50000}$

Now we want the real area of the dam if its area on the map is 3.5 cm^2.

Let us call x the real area of the dam, then we have

$\frac{1}{50000}=\frac{3.5}{x}$

cross multipication gives

$x=3.5\times50000$$\boxed{x=175,000\operatorname{cm}^2}$

which is our answer!