the length and the breadth of a rectangular field are in ratio 3 : 2. the cost of fencing the field at the rate of ₹50 per metre is ₹ 25000 . the area of the field in square metres is.?
answer : 15,000
need explanation
Answers
AnswEr:-
Given:-
- Length and breadth of rectangular field is in ratio 3:2.
- The cost of fencimg the field at ₹50 per meter is ₹25000.
To Find:-
- The Area of the rectangular field.
Formulas Used:-
• Perimeter of rectangle,
= 2 (length + breadth).
• Area of rectangle,
= Length × Breadth.
So here,
It is given that length and breadth are in ratio 3:2.
So let the length and breadth of the rectangle be 3x meters and 2x meters respectively.
Also the cost of fencing at ₹50 per meter is ₹25000.
This means that 50 times the perimeter of rectangle is 25000.
So lets make an equation by using above data:-
=》 50 × [2 × (3x+2x)] = 25000.
=》 50 × [2 × 5x] = 25000.
=》 50 × 10x = 25000.
=》 500x = 25000.
=》 x = 25000/500.
=》 x = 50.
Therefore,
=》 Length of field = 3x meters.
= 3 × 50 meters.
= 150 meters.
And,
=》 Breadth of the field = 2x meters.
= 2 × 50 meters.
= 100 meters.
So the area of the field,
= Length × Breadth.
= 150 meters × 100 meters.
= 15000 meters².
Therefore the area of the given rectangular field is 15,000 meters² .
Answer:
Step-by-step explanation:
let the lenght and breadth be 3x and 2x respectively
perimeter of rectangular field = 2(l+b)
=2(3x +2x)
=2 x 5x
= 10x
now; 1m cost = Rs 50
cost of 10x = rs 50 x 10x = Rs 500x
Now; 500x = 25000
x = 25000 ÷ 500
x = 50 m
so, length of rectangular field = 3x = 3 x 50 = 150 m
Breadth of rectangular field = 2x = 2 x 50 = 100 m
Now : Area of field = L x B
= 150 x 100 m sq.
= 15,000 m sq. Ans
hence, area of field is 15,000.
I hope it will help you.