Question

3) .A 4m wide path runs outside and around a rectangular park of length 120m and 60m , Find area of ​​the path​

Answer 1

Step-by-step explanation:

area of path =area of outer path - are of inner path

= (120×60) - (120-8× 60-8)

= 7200- 5824

= 1376 Sq.cm

Answer 2

Given,

A 4m wide path runs outside and around a rectangular park of length 120m and 60m.

To find,

The area of the path.

Solution,

We can simply solve this mathematical problem using the following process:

As per mensuration;

Area of a rectangle

= length × breadth

According to the question;

The area of the rectangular park

= length × breadth

= 120 m × 60 m

= 7200 m^2

Now, according to the question;

The length of the rectangle formed by the park and the path all around

= (length of the park) + 2(width of the path)

= (120 m) + 2(4 m)

= 120 m + 8 m

= 128 m

And, the breadth of the rectangle formed by the park and the path all around

= (breadth of the park) + 2(width of the path)

= (60 m) + 2(4 m)

= 60 m + 8 m

= 68 m

So, the area of the rectangle formed by the park and the path all around

= length × breadth

= 128 m × 68 m

= 8704 m^2

So, the area of the path

= (area of the rectangle formed by the park and the path all around) - (area of the rectangular park)

= (8704 m^2) - (7200 m^2)

= 1504 m^2

Hence, the area of the path is equal to 1504 m^2.