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13.42. The breadth of a rectangular plot isof its length. If the perimeter ofthe plot is 240 meters. What is thelength of the plot?(A) 80 m. (B) 240 m.(C) 90 m. (D) None​

Answer»

Correct Question:

  • The breadth of a rectangular PLOT is one third of its length. If the perimeter of the plot is 240 meters. What is the length of the plot?

Answer :

  • Length of the plot is 90m
  • Option (c)

Given :

  • The breadth of a rectangular plot is one third of its length
  • Perimeter of the plot is 240m

To find :

  • Length of the plot

Solution :

  • LET the length of plot be x
  • Breadth = 1/3 x

As we know that,

  • Perimeter of rectangle = 2(length + breadth)

⟿ 2(length + breadth) = 240

⟿ 2(x + 1/3x) = 240

⟿ 2X + 2x/3 = 240

⟿ 6x + 2x / 3 = 240

⟿ 8x/3 = 240

⟿ 8x = 240 × 3

⟿ 8x = 720

⟿ x = 720/8

⟿ x = 90

Hence , Length of plot is 90m

  • Breadth = 1/3x = 1/3 × 90 = 30m

So,

  • Length of the plot is 90m
  • Breadth of the plot is 30m

VERIFICATION :

As we know that,

  • Perimeter of rectangle = 2(length + breadth)

⟿ 2(90 + 30)

⟿ 2(120)

⟿ 240


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