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Mathematics

Statement 1: ABCD is a parallelogram, base AB = 12 cm, perpendicular dropped from D to AB is 9 cm, area of parallelogram ABCD = 54 cm2.

Statement 2: The area of parallelogram = Base x Height.

Which of the following options is correct?

  1. Both the statements are true.

  2. Both the statements are false.

  3. Statement 1 is true, and statement 2 is false.

  4. Statement 1 is false, and statement 2 is true.

Area Trapezium Polygon

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Answer

Given,

AB (base) = 12 cm, perpendicular dropped from D to AB (height) = 9 cm.

By formula,

The area of parallelogram = Base x Height

= 12 x 9

= 108 cm2.

∴ Statement 1 is false, and statement 2 is true.

Hence, option 4 is the correct option.

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