Lesson eLearning

A rectangle has a perimeter of 54 m. One side is 3 m longer than the other. Find the length and breadth.

hard 4 marks Class 6 · Mathematics · Basic Geometrical Ideas
Answer
Length = 15 m and breadth = 12 m

The correct answer is Length = 15 m and breadth = 12 m — So rectangle is 15 m by 12 m.

Step-by-step solution

  1. Let breadth = x m.
  2. Length = x + 3 m.
  3. Perimeter = 2(length + breadth) = 54.
  4. 2(x + x + 3) = 54.
  5. 4x + 6 = 54.
  6. 4x = 48.
  7. x = 12.
  8. Length = 12 + 3 = 15 m.
  9. Breadth = 12 m.
  10. So rectangle is 15 m by 12 m.
Common mistake: Misapplying the perimeter formula

Concept tested: Solving linear equations for rectangle dimensions

Published · How this solution was prepared and checked

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