the length of rectangle is 1/3 of its breadth if the perimeter is 64 then find the length and breadth of the rectangle
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Let length & breadth of rectangle be l and ‘6’ respectively.
Given that length is 1/3 of breadth,
∴ l = 1/3 x b ⇒ l = b/3 ⇒ b = 3l …..(1)
Also given that perimeter is 64 m.
Perimeter = 2 x (l + b) 2 x l + 2 x b = 64
Substituting for value of b from (1), we get 2l + 2(3l) = 64
∴ 2l + 6l = 64 8l = 64
∴ l = 64/8 = 8 m b = 3l = 3 x 8 = 24 m
length l = 8 m & breadth h = 24 m.
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