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Question
The length of a rectangle is `1/3` of its breadth. If its perimeter is 64 m, then find the length and breadth of the rectangle.
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Solution
Let length and breadth of rectangle be ‘l’ and ‘b’ respectively
Given that length is `1/3` of breadth,
∴ l = `1/3 xx "b"`
⇒ l = `"b"/3`
⇒ b = 3l ...(1)
Also given that perimeter is 64 m
Perimeter = 2 × (l + b)
2 × 1 + 2 × 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 × 8
= 24 m
Ienglh l = 8 m in and breadth b = 24 m
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