A field is 256 m long and 184 m wide. A pathway that is 5 m wide runs breadthwise across the field. what is the are of the path? if is it costs ₹ 45.00 per sq.m to lay Korean grass on the field, leaving the pathway, how much would it cost for laying grass in the entire field
Answers
Step-by-step explanation:
Given :-
A field is 256 m long and 184 m wide.
A pathway that is 5 m wide runs breadthwise across the field.
To find :-
I) The area of the path.
II) Total cost of laying grass on the entire field if it costs ₹ 45.00 per sq.m .
Solution :-
Given that
Length of the field (l) = 256 m
Width of the field (b) = 184 m
We know that
Area of a rectangle = lb sq.units
Area of the field
= 256 × 184
= 47104 m²
Width of the path across around inside the field (w) = 5 m
Length of the inner field = l-2w
= 256-2×5
= 256-10
= 246 m
Length of the inner field = 246 m
Breadth of the inner field = b-2w
= 184-2×5
= 184-10
= 174 m
Breadth of the inner field = 174 m
Area of the inner field
= 246×174
= 42804 m²
Now, Area of the path
= Area of outer field - Area of inner field
= 47104 m² - 42804 m²
= 4300 m²
Area of the path = 4300 m²
If the pathway is left then the area of the remaining field
= 47104-4300
= 42804 m²
The cost of laying Korean grass on the field per 1 m² = Rs. 45
The cost of laying grass on the entire field if leaving the pathway
= 42804×45
= Rs. 1926180
Answer :-
1) Area of the path = 4300 m²
2)The total cost of laying the Korean grass on the entire field,leaving pathway is Rs. 19,26,180
Used formulae:-
→ Area of a rectangle = lb sq.units
Where,
- l = length
- l = lengthb = breadth
Step-by-step explanation:
Step-by-step explanation:
Given :-
A field is 256 m long and 184 m wide.
A pathway that is 5 m wide runs breadthwise across the field.
To find :-
I) The area of the path.
II) Total cost of laying grass on the entire field if it costs ₹ 45.00 per sq.m .
Solution :-
Given that
Length of the field (l) = 256 m
Width of the field (b) = 184 m
We know that
Area of a rectangle = lb sq.units
Area of the field
= 256 × 184
= 47104 m²
Width of the path across around inside the field (w) = 5 m
Length of the inner field = l-2w
= 256-2×5
= 256-10
= 246 m
Length of the inner field = 246 m
Breadth of the inner field = b-2w
= 184-2×5
= 184-10
= 174 m
Breadth of the inner field = 174 m
Area of the inner field
= 246×174
= 42804 m²
Now, Area of the path
= Area of outer field - Area of inner field
= 47104 m² - 42804 m²
= 4300 m²
Area of the path = 4300 m²
If the pathway is left then the area of the remaining field
= 47104-4300
= 42804 m²
The cost of laying Korean grass on the field per 1 m² = Rs. 45
The cost of laying grass on the entire field if leaving the pathway
= 42804×45
= Rs. 1926180
Answer :-
1) Area of the path = 4300 m²
2)The total cost of laying the Korean grass on the entire field,leaving pathway is Rs. 19,26,180