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The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?

Correct answer: A. 1 : 96

  • A. 1 : 96
  • B. 1 : 48
  • C. 1 : 84
  • D. 1 : 68

Explanation

Write the sides as 4x cm and 3x cm. Since 12x2 cm2 = 6912 cm2, x2 = 576 cm2 and x = 24 cm, so the breadth is 72 cm; therefore breadth:area = 72 cm:6912 cm2 = 1:96 cm. The likely mistake is option b, which usually comes from using the length instead of the breadth or losing the 4:3 ratio.

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