The length of a rectangular field is thrice its breadth. If the perimeter of this field is 800 m, what is the length of the field?

Monjur Alahi

The length of a rectangular field is thrice its breadth. If the perimeter of this field is 800 m, what is the length of the field?


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Salim Ahmed Kawsar

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Perimeter of a rectangle = 2 (length + breadth) 

Length of the rectangular field = 3 × breadth 

Therefore perimeter of field = 2 (3 × breadth + breadth) 

= 2 ( 4 × breadth) 

= 8 × breadth 

The given perimeter = 800 m 

Therefore 8 × breadth = 800 

Or, breadth = 800 ÷ 8 = 100 m 

So, length = 3 × 100 m = 300 m

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