The perimeter of square field is 64m .If the field is surrounded by running path of width 3.5, find the area of the path.
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Answer:
The area of the path is 99.75m²
Step-by-step explanation:
Let A be the side of the field and a be the side of the path
Perimeter of field ;
4A = 64m
A = 16m
So,
a = 16 - 3.5
a = 12.5m
Area of the path = a² - A²
= (16)² - (12.5)²
= 256 - 156.25
= 99.75 m²
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