Question

There is a path of width 6m along the
outer boundary of a rectangular field of
length 180m and breadth 120m. Find the
area of the path.

Answer 1

Answer:

There is a path of width 6 m. along the outer boundary of a rectangular

crop field of length 180 m. and breadth 120 m. The area of the path is 3744 m²

Step-by-step explanation: we need to visualize two rectangles.

One on the outer part and the other one on the inside.

The Measurements of the outer rectangle formed as a result of the boundary are given by:

Length = 180 + (6 × 2) = 192 meters

Width = 120 + (6 × 2) = 132 meters

The area of the outer rectangle = 192 × 132 = 25344 m²

The area of the inner rectangle = 180 × 120 = 21600 m²

The area of the path = the area of the boundary

= the area of the outer rectangle - the area of the inner rectangle

= 25344 - 21600 = 3744 m²

Answer 2

Answer :-

The area of path is 3744m².

Step-by-step explanation:

To Find :-

• The area of path.

★ Solution

Given that,

• Length of Rectangular field = 180m
• Breadth of field = 120m.

Therefore,

Area of Rectangular field :-

⇒ length × breadth

⇒ 180m × 120m

⇒ 21600m²

Length and breadth of field including the path :-

Length: [180 + (6 + 6)]

⇒ 180 + 12

⇒ 192m

Breadth: [120 + (6 + 6)]

⇒ 120 + 12

⇒ 132m

Now, Area of field including the path :-

⇒ length × breadth

⇒ 192m × 132m

⇒ 25344m²

According the question,

The area of path :-

⇒ Area of field including path - Area of the filed

⇒ 25344m² - 21600m²

⇒ 3744m²

Hence, The area of path is 3744m².