the difference between length and breadth of a rectangle is 1 cm if 3 is added to its breadth and 7 cm is added to its length its perimeter become three times more than its previous parameter find the length
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Step-by-step explanation: maybe this answer is helpful please rate and thanks if it was ....
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Step-by-step explanation:
Let length be X
Therefore breadth = X - 1
Perimeter = 2(l+b)
=> 2 ( X + X - 1 )
=> 2 ( 2X - 1 )
=> 4X - 2
Now, according to question,
New length = X + 7
New breadth = (X - 1) + 3
=> X + 2
New perimeter = 3(4X - 2)
Therefore, equation will thus be:
2{(X + 2) + (X + 7)} = 3 (4X - 2)
=> 2 { 2X + 9 } = 12X - 6
=> 4X + 18 = 12X - 6
=> 18 + 6 = 12X - 4X
=> 24 = 8X
=> X = 24/8 = 3
Therefore length is 3 cm
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