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The length of a rectangle is 5cm longer than its width. If the perimeter of the rectangle is 74cm , find its length and width.

User Sstock
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Answer:

The width of the rectangle is 32cm and the length is 37cm.

Explanation:

  • Let's call the width of the rectangle "w" and the length of the rectangle "l".
  • We know that the perimeter of the rectangle is equal to 2 times the sum of the length and the width, or 2(w+l) = 74.We also know that the length is 5cm longer than the width, so we can set up the equation l = w + 5.
  • We can substitute this expression for l in our first equation to get 2(w + (w + 5)) = 74.Combining like terms, we get 2w + 10 = 74.
  • Dividing both sides by 2, we get w = 32.We can now use this value to find the length of the rectangle.
  • Thus, the width of the rectangle is 32cm and the length is 37cm.
User Andrew Atkinson
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