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

`\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.