path of uniform width that is 2.5 CM runs the inside of a rectangular field 30m by 27m find the area of the path.
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Area of the path=(30x27)-(
29.950x26.950)
= 2.85m2
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Solution:-
Given:-
- Width of the path = 2.5 cm
- Dimension of Rectangular Field = 30m × 27m = (3000 × 2700) cm
Area of rectangular field with Path = Length × Breadth
=) Area = 3000 ×2700
=) Area = 8100000 cm²
Now,
Length of rectangular field without path= 3000 -(2.5×2)
=) Length = 2995 cm
Breadth of rectangular field without path = 2700-(2.5×2)
Breadth = 2695 cm
Area of rectangular field without path = Length × Breadth
=) Area = 2995 ×2695
=) Area = 8071525 cm²
Area of path = Area of rectangular field with Path - Area of rectangular field without path
=) Area of path = 8100000 cm² - 8071525 cm²
=) Area of path = 28475 cm²
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