2. A 3 m wide path runs outside and around a rectangular park of length 125 m and
breadth 65 m. Find the area of the path.
long and 5 cm wide such that there is a
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Answer:
Here, Area of the path=Area of larger rectangle−Area of smaller rectangle.
Smaller Rectangle:
Length of smaller rectangle=125m
Breadth of smaller rectangle=65m
Larger Rectangle:
3m wide path runs all around outside smaller rectangle.
∴ Length of larger rectangle=Length of smaller rectangle+2×3
=125+6=131m
Breadth of larger rectangle=Breadth of smaller rectangle+2×3
=65+6=71m
Smaller rectangle:
Length =l=125m, Breadth=b=65m
Area of smaller rectangle=l×b=125×65=8125m2
Larger rectangle:
Length =l=131m, Breadth=b=71m
Area of larger rectangle=l×b=131×71=9301m2
Area of the path=Area of larger rectangle−Area of smaller rectangle.
=9301−8125=1176m2
∴ Area of path is 1176m2
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