The ratio of the length and the breadth of a rectangular plot is 6:5…

2023

The ratio of the length and the breadth of a rectangular plot is 6:5 respectively , if the breadth of the plot is 34 m less than the length, what is the perimeter of the rectangular plot ?

  1. A.

    374 m

  2. B.

    408 m

  3. C.

    814 m

  4. D.

    748 m

Attempted by 89 students.

Show answer & explanation

Correct answer: D

Answer: 748 metre

Reason:

  1. Let the length be 6x and the breadth be 5x.

  2. Given the breadth is 34 m less than the length: 6x − 5x = 34, so x = 34.

  3. Compute the dimensions: length = 6 × 34 = 204 m; breadth = 5 × 34 = 170 m.

  4. Perimeter = 2 × (length + breadth) = 2 × (204 + 170) = 2 × 374 = 748 m.

Therefore the perimeter of the rectangular plot is 748 m.

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