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Sagot :
Given:
On a map, the scale shown is 1 inch : 5 miles.
Area of park = 75 square miles.
To find:
The area of the park on the map.
Solution:
Ratio of the areas of similar figures is equal to the ratio square of their corresponding sides.
[tex]\dfrac{\text{Area of park on the map}}{\text{Actual area of the park}}=\dfrac{\text{Side of park in map}^2}{\text{Actual side of park}^2}[/tex]
Let A be the area of the park on the map.
[tex]\dfrac{A}{75}=\dfrac{1^2}{5^2}[/tex]
[tex]A=\dfrac{1}{25}\times 75[/tex]
[tex]A=3[/tex]
Therefore, the area of the park on the map is 3 square inches.
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