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
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
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
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