A 3m wide path runs outside and around a rectangular park of length 125m and breadth 65m. Find the area of 5he path ?

A 3m wide path runs outside and around a rectangular park of length 12

1.	A 3m wide path runs outside and around a rectangular park of length 125m and breadth 65m. Find the area of 5he path ?
Answer» Step-by-step explanation: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=8125m 2 Larger rectangle: Length =l=131m, Breadth=b=71m Area of larger rectangle=l×b=131×71=9301m 2 Area of the path=Area of larger rectangle−Area of smaller rectangle. =9301−8125=1176m2 ∴ Area of path is 1176m 2