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  perimeter of the rectangle

  Posted by Kidpid Team on February 16, 2024 at 6:12 pm

  The length of a rectangle is 3 more inches than its breadth. The area of the rectangle is 40 in2. What is the perimeter of the rectangle?

  Bharti Kumari replied 1 year, 1 month ago 2 Members · 1 Reply

  • perimeter
  • rectangle
• 1 Reply

• 

  Bharti Kumari

  Member

  February 24, 2024 at 5:30 pm

  Let’s assume the breadth of the rectangle is x inches.

  According to the given information, the length of the rectangle is 3 more inches than its breadth, so the length would be (x + 3) inches.

  The area of a rectangle is given by the formula: Area = Length × Breadth.

  Plugging in the values we have, we can set up the equation:
  40 = (x + 3) × x

  Expanding the equation:
  40 = x^2 + 3x

  Rearranging the equation into a quadratic form:
  x^2 + 3x – 40 = 0

  Now we can solve this quadratic equation by factoring or using the quadratic formula. Factoring gives us:
  (x + 8)(x – 5) = 0

  Setting each factor to zero:
  x + 8 = 0 or x – 5 = 0

  Solving these equations gives us:
  x = -8 or x = 5

  Since the breadth cannot be negative, we discard the solution x = -8.

  Therefore, the breadth of the rectangle is x = 5 inches, and the length is x + 3 = 5 + 3 = 8 inches.

  The perimeter of a rectangle is given by the formula: Perimeter = 2 × (Length + Breadth).

  Plugging in the values we have:
  Perimeter = 2 × (8 + 5) = 2 × 13 = 26 inches.

  So, the perimeter of the rectangle is 26 inches.

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