Math, asked by AaravMane, 2 days ago

12. A rectangular lawn is 40 m by 30m. It has two roads of 2m wide running in the middle one parallel to the length and the other parallel to the breadth. Find the area of the roads?​

Answers

Answered by Ʀɑү
453

Answer:

The area of the roads is 136m².

Step-by-step explanation:

Given:-

Length of the rectangular lawn = 40m

Width of rectangular lawn = 30m

Width of roads = 2m

To find:-

  • Area of roads

Solution:-

Here, we have to find area of road parallel to length and area of road parallel to breadth and subtract the common portion formed by intersection.

So,

★ Area of road parallel to the length of lawn is = length of the lawn × width of road

⠀⠀⠀⠀⠀⠀⠀ = 40 × 2

⠀⠀⠀⠀⠀⠀⠀ = 80 m²

★ Area of road parallel to the width of lawn is = width of the lawn × width of road

⠀⠀⠀⠀⠀⠀⠀ = 30 × 2

⠀⠀⠀⠀⠀⠀⠀ = 60 m²

Now,

★ Area of common portion formed by intersection

⠀⠀⠀⠀⠀⠀⠀ = 2 × 2

⠀⠀⠀⠀⠀⠀⠀ = 4 m²

Therefore ,

Total area of road = Area of road parallel to the length of lawn + Area of road parallel to the width of lawn – Common portion formed by intersection

⠀⠀⠀⠀⠀= 80 + 60 – 4

⠀⠀⠀⠀⠀= 140 – 4

⠀⠀⠀⠀⠀= 136 m²

Hence, the area of road is 136 m²

Answered by rajpurohitjalore
4

Step-by-step explanation:

Answer:

The area of the roads is 136m².

Step-by-step explanation:

Given:-

Length of the rectangular lawn = 40m

Width of rectangular lawn = 30m

Width of roads = 2m

To find:-

Area of roads

Solution:-

Here, we have to find area of road parallel to length and area of road parallel to breadth and subtract the common portion formed by intersection.

So,

★ Area of road parallel to the length of lawn is = length of the lawn × width of road

⠀⠀⠀⠀⠀⠀⠀ = 40 × 2

⠀⠀⠀⠀⠀⠀⠀ = 80 m²

★ Area of road parallel to the width of lawn is = width of the lawn × width of road

⠀⠀⠀⠀⠀⠀⠀ = 30 × 2

⠀⠀⠀⠀⠀⠀⠀ = 60 m²

Now,

★ Area of common portion formed by intersection

⠀⠀⠀⠀⠀⠀⠀ = 2 × 2

⠀⠀⠀⠀⠀⠀⠀ = 4 m²

Therefore ,

Total area of road = Area of road parallel to the length of lawn + Area of road parallel to the width of lawn – Common portion formed by intersection

⠀⠀⠀⠀⠀= 80 + 60 – 4

⠀⠀⠀⠀⠀= 140 – 4

⠀⠀⠀⠀⠀= 136 m²

Hence, the area of road is 136 m²

okay bro / sister

Similar questions