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Question

The length of a rectangle is three times of its width. If the length of the diagonal is 810 cm, then the perimeter of the rectangle is:


  1. 65 cm

  2. 15√10 cm

  3. 16√10 cm

  4. 24√10 cm

  5. 64 cm


Solution

The correct option is E

64 cm


Let breadth = `x' cm. Then, length = `3x' cm. x2+(3x)2=(810)210x2=64x=8 So, length = 24 m and breadth = 8 cm Perimeter = [2 (24+8)] cm = 64 cm.

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