216k views
4 votes
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?

User Ynh
by
7.9k points

2 Answers

3 votes
can I get dimensions?
User Aaron Scruggs
by
7.9k points
4 votes

Answer:


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

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}}=(500)/(1)


\frac{x}{16\text{ cm}}=(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.

User Spitzbueb
by
8.3k points