Question

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

Answer 1

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

Answer 2

Answer:

Length of rectangular park=125m, breadth of rectangular park=65m and width of the path=3m

Length of rectangular park with path=125+3+3=131m

Breadth of rectangular park with path=65+3+3=71m

∴ Area of path = Area of park with path−Area of park without path

=(AB×AD)−(EF×EH)

=(131×71)−(125×65)

=9301−8125

=1,176m ^2

Step-by-step explanation: