SOLUTION: ABCD is a parallelogram and AM, AN are the perpendiculars from A to BC,CD respectively. if |AB|=6.3cm, |AD|=4.9cm and |AN|=2.4cm, calculate the area if the parallelog and hence fin

Algebra ->  Trigonometry-basics -> SOLUTION: ABCD is a parallelogram and AM, AN are the perpendiculars from A to BC,CD respectively. if |AB|=6.3cm, |AD|=4.9cm and |AN|=2.4cm, calculate the area if the parallelog and hence fin      Log On


   

Question 1132823: ABCD is a parallelogram and AM, AN are the perpendiculars from A to BC,CD respectively. if |AB|=6.3cm, |AD|=4.9cm and |AN|=2.4cm, calculate the area if the parallelog and hence find |AM|
Answer by greenestamps(13200) About Me  (Show Source):
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The area of a parallelogram is the product of the base and height.

Using AB and CD as the bases, AN is the height. Since AB = 6.3 and AN = 2.4, the area of the parallelogram is (6.3)(2.4) = 15.12.

Using AD and BC as the bases, AM is the height. Since the area is 15.12 and AD = 4.9, AM is 15.12/4.9 = 3.0857 to four decimal places.