the length of a rectangle is twice its breadth if the ratio of the perimeter of the rectangle and its area is 1 ratio 2 find the dimensions of the rectangle
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Step-by-step explanation:
Let the breadth be x
then length will be 2x
According to the question,
Area : perimeter = 2 : 1
=> (l × b) : 2(l + b) = 2 : 1
=> (2x × x) : 2(2x + x) = 2 : 1
=> 2x² : 6x = 2 : 1
=> 2x²/6x = 2/1
=> 1/3x = 2
=> x = 2*3
=> x = 6unit
Hence,
breadth = x = 6units
length is 2x = 12units
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