The ratio of length and breadth is 3:2 and the perimeter is 50m. Find the length and breadth?
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Answer :
- length is 15m
- breadth is 10m
Given :
- The ratio of length and breadth of rectangle is 3:2
- Perimeter of rectangle is 50m
To find :
- length and breadth of rectangle
Solution :
- let the length of rectangle be 3x
- let the breadth of rectangle be 2x
As we know that ,
- perimeter of rectangle = 2(l + b)
where l is 3x , b is 2x and perimeter is 50
● perimeter of rectangle = 2(length + breadth)
● 2(3x + 2x) = 50
● 2(5x) = 50
● 10x = 50
● x = 50/10
● x = 5
Now,
- length of rectangle = 3x = 3(5) = 15m
- breadth of rectangle = 2x = 2(5) = 10m
Hence length is 15m and breadth is 10m
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