a field is rectangular in shape and its lenght is 1 1/2 times its breath . if its area is 2.4576 hectares . what is its perimeter
Answers
Answered by
1
Answer:
Length plus breath kar le
Answered by
8
Answer :
- Perimeter is 640m
Given :
- Length is 1 ½ times its breadth
- Area is 2.4576 hectares
To find :
- Perimeter
Solution :
Given length is 1 ½ times its breadth so ,
- Let the breadth be x
- Length = 1 ½ x = 3/2 x
Area is 2.4576 hectares
- We know that 1 hectares = 10000
》2.4576 × 10000
》24576 m²
Area is 24576m²
As we know that ,
- Area of rectangle = length × breadth
》24576 = 3/2 x × x
》x² = 24576 × 2/3
》x² = 16384
》x = √16384
》x = 128
Hence , Breadth is 128
- Length = 3/2 x = 3/2 × 128 = 192
Now we have to find the perimeter:
As we know that ,
- Perimeter of rectangle = 2(l + b)
Where, l is length 192 and b is breadth 128
》Perimeter of rectangle = 2(length + breadth)
》2(192 + 128)
》2(320)
》640m
Hence , Perimeter is 640m
Verification :
Given
- Length = 192m
- Breadth = 128m
As we know that,
- Area of rectangle = length × breadth
》Area of rectangle = length × breadth
》192 × 128
》24576 m²
Hence verified
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