The area of a rectangle gets reduced by 9 sq units if its length is reduced by 5 units and breadth increased by 3 units. If length is increased by 3 and breadth by 2, area increases by 67 sq units. Find the length.

Answer and explanation

Correct answer: A.

  1. Step 1: .
  2. Step 2: .
  3. Step 3: Multiply first by 3 and second by 5: and .
  4. Step 4: Add: . Breadth .
Answer
.
Why not the others: yields area 135; yields fractional breadth; and does not satisfy the first reduction equation.

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