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The length of a rectangle is twice its breadth. If the perimeter of the rectangle is 66 m, then the area of the rectangle, in m2, is:

  • A.338
  • B.616
  • C.242
  • D.121

Answer: C

The area is 242 square metres. Let the breadth be b, so the length is 2b. The perimeter is 2(2b + b) = 6b = 66, so b = 11 m and the length is 22 m. The area is 22 x 11 = 242 square metres. The option 121 is the square of the breadth and 338 and 616 do not come from the given dimensions. The area is length times breadth, 22 x 11 = 242 square metres, and the perimeter is 2(22 + 11) = 66 metres, which agrees with the data. The options 338, 616 and 121 do not give a perimeter of 66 for any rectangle whose length is twice its breadth.

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