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Rashid [163]
3 years ago
10

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 pro

perty's actual area?
Mathematics
2 answers:
laila [671]3 years ago
4 0
Can I get dimensions?
dmitriy555 [2]3 years ago
3 0

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.

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