the length of a rectangular halway is 3 times its breadth. If the perimeter of the halway is 48 find its length and breadth.
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Correct Question:
- The length of a rectangular hallway is 3 times its breadth. If the perimeter of the hallway is 48 m. Find its length and breadth.
GivEn:
- The length of a rectangular hallway is 3 times its breadth.
- Perimeter of the hallway is 48 m.
To find:
- Length and Breadth of hallway?
Solution:
☯ Let Breadth of Rectangular hallway be x m.
Therefore, Length of rectangular hallway is 3x m.
Now,
According to the Question:
- Perimeter of rectangular hallway is 48 m.
We know that,
★ Perimeter of Rectangle = 2(l + b)
Therefore,
➯ 2(3x + x) = 48
➯ 3x + x = 48/2
➯ 3x + x = 24
➯ 4x = 24
➯ x = 24/4
➯ x = 6
Hence,
- Breadth of rectangular hallway, x = 6 m
- Length of Rectangular hallway, 3x = 3 × 6 = 18 m
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⠀⠀⠀⠀⠀⠀⠀⠀More to know:
- Area of Rectangle = Length × Breadth
- Diagonal of Rectangle = √l² + b²
- Area of square = side × side
- Perimeter of square = 4 × side
- Diagonal of square = √2 × side
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