• Math

  Finding the Area of a Rectangle with a Given Perimeter and Width

  Posted by Aniket on June 17, 2023 at 3:29 pm

  A rectangle has a length that is x times its width. If the width is 5 units and the perimeter is 120 units. What will be the area of the rectangle ?

  Majida replied 1 year, 9 months ago 2 Members · 1 Reply
• 1 Reply

• 

  Majida

  Member

  June 18, 2023 at 11:33 am

  Given:
  Width of the rectangle = 5 units
  Perimeter of the rectangle = 120 units

  Let’s assume the length of the rectangle is “x” times its width.

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

  Putting in the given values, we have:
  120 = 2 × (x * 5 + 5)

  Simplifying, we get:
  120 = 2 × (5x + 5)
  120 = 10x + 10
  10x = 120 – 10
  10x = 110
  x = 110/10
  x = 11

  Therefore, the length of the rectangle is 11 times its width.

  Now, let’s calculate the length:
  Length = x * Width Length = 11 * 5 Length = 55 units

  To find the area of the rectangle, we use the formula:
  Area = Length × Width

  Putting in the values, we get:
  Area = 55 × 5 Area = 275 square units

  Hence, the area of the rectangle is 275 square units.

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