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.
Answers
Answer:
hey
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
Step-by-step explanation:
125*3=375
375*2=740
65*3=195
195*2=390
740+390=1130
area of path is 1130 m²