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प्रश्न
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.
उत्तर
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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