Math, asked by Sahaj8300Y, 2 months ago

the length of a rectangular halway is 3 times its breadth. If the perimeter of the halway is 48 find its length and breadth.​

Answers

Answered by nandlalpatel113
14

answer by swati

Step-by-step explanation:

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Answered by SarcasticL0ve
33

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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