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KVPY2015MathematicsStraight Lines

In the figure given below, a rectangle of perimeter 76 units is divided into 7 congruent rectangles. What is the perimeter of each of the smaller rectangles?

Options

  1. A38
  2. B32
  3. C28
  4. D19

Correct answer

C. 28

Step-by-step solution

Let Sides of Rectangle are x & y Then array l 5 x+6 y=76 4 y=3 x array After solving we get y=6, x=8 Perimeter =2(x+y)=28

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