1.

the length of a rectangle is 20m less than twice its breadth if the perimeter of the rectangle is 80m find its dimensions​

Answer»

GIVEN:

  • The length of a RECTANGLE is 20m LESS than twice its breadth.
  • Perimeter of the rectangle is 80m.

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To find:

  • Dimensions of the rectangle.

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Solution:

  • Let the breadth of the rectangle be b.

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Then, length of the rectangle will be

  • Length = 2b - 20⠀⠀... [1]

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We have perimeter of the rectangle, i.e., 80m.

Perimeter of a rectangle is given by

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★ Perimeter = 2(length + breadth)

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→ Perimeter = 80

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→ 2(2b - 20 + b) = 80

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→ 2 × (3b - 20) = 80

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→ 3b - 20 = 40

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→ 3b = 40 + 20

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→ 3b = 60

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→ b = 20

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Substituting the value of b in [1]

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→ Length = 2(20) - 20

→ Length = 40 - 20

→ Length = 20m

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Hence,

  • Length of the rectangle = 20m
  • Breadth of the rectangle = 20m


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