the length of a rectangar field is 8 meters less than twice its breadth if the perimeter of the rectangular field is 56 meters find its length and breadth
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Answer:
Length = 16 m & Breadth = 12 m
Explanation:
Let the breadth of the rectangular field be 'x'. Given, length = 2x - 8
Since perimeter of a rectangle = 2(l + b), i.e. 2[x +(2x-8)] = 56 (given).
Therefore, 2(3x - 8) = 56. Implies 3x - 8 = 56/2 = 28. So, 3x = 36.
Thus, x = 12.
Therefore, the length and breadth of the field are 16 and 12 metres respectively.
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