Question

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

Answer 1

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=1176m  

2

 

∴ Area of path is 1176m  

2