Ex 11.4, 2 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.
Here,
Area of path = Area of larger rectangle − Area of smaller rectangle
Finding length and breadth of both rectangles
Smaller rectangle
Length of smaller rectangle = 125 m
Breadth of smaller rectangle = 65 m
Larger Rectangle
3 m wide path runs all
around outside smaller
rectangle.
∴ Length of larger rectangle = Length of smaller rectangle + 2 × (3)
= 125 + 6
= 131 m
Breadth of larger rectangle = Breadth of smaller rectangle + 2 × (3)
= 65 + 6
= 71 m
Smaller rectangle
Length = l
= 125 m
Breadth = b
= 65 m
Area of smaller rectangle
= l × b
= 125 × 65
= 8125 m2
Larger rectangle
Length = l
= 131 m
Breadth = b
= 71 m
Area of smaller rectangle
= l × b
= 131 × 71
= 9301 m2
Now,
Area of path = Area of larger rectangle − Area of smaller rectangle
= 9301 − 8125
= 1176 m2
∴ Area of path is 1176 m2

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.