the perimeter of a rectangular field is 500m. amd its lenghth is 150m. find its area
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Answer:
The perimeter of a rectangular field is 500 m and its length = 150 m. Find:
(i) its breadth,
(ii) its area.
(iii) cost of ploughing the field at the rate of Rs 1.20 per square meter.
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☆ Solution ☆
Given :-
- The perimeter of a rectangular field is 500 m.
- The length of a rectangular field is 150 m.
To Find :-
- The area of rectangular field.
Step-by-Step-Explaination :-
Firstly, we have to find the breadth
Let,
- The breadth of the rectangular field be x
As we know that :-
Perimeter of rectangle = 2 ( length + breadth )
Where,
- The perimeter of the rectangle = 500 m
- The length of the rectangle = 150 m
- The breadth of the rectangle = B
Putting the respective value,
500 = 2 ( 150 + b )
250 = 150 + b
b = 250 - 150
b = 100
Hence,
The breadth of the rectangular field = 100 m
Now,
As we know that :-
Area of rectangle = length × breadth
Where,
- The length of the rectangle = 150 m
- The breadth of the rectangle = 100 m
Putting the respective value,
Area of rectangle = 150 × 100
Area of rectangle = 15,000
Hence,
The area of the rectangular field = 15,000 m
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