Question

A 2 m wide path runs outside and around a rectangular park of length 120 m and breath 60 m .Find the area of the path .
a) 736 sq m
b) 7200 sq m
c) 7936 sq m
d) 740 sq m

Answer 1

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=1176m

2

∴ Area of path is 1176m

2