Question

A map of square piece of property is drawn at a scale of 1 : 500. If a side of the property on the map is 16 cm, what is the property's actual area?

Answer 1

can I get dimensions?

Answer 2

Answer:

$\text{Actual area of property}}=6400\text{ m}^2$

Step-by-step explanation:

Let x represent the actual side of square property.

We have been given that a map of square piece of property is drawn at a scale of 1 : 500.

We will use proportions to solve for our given problem.

$\frac{\text{Actual length}}{\text{Map length}}=\frac{500}{1}$

$\frac{x}{16\text{ cm}}=\frac{500}{1}$

$\frac{x}{16\text{ cm}}*16\text{ cm}=500*16\text{ cm}}$

$x=8000\text{ cm}$

$x=80\text{ m}$

We know that area of a square is square of its side length.

$\text{Actual area of property}}=(80\text{ m})^2$

$\text{Actual area of property}}=6400\text{ m}^2$

Therefore, the actual area of property is 6400 square meters.