SOLUTION: Show a sketch for the following information
ABCD is a parallelogram and line AM, line AN are the perpendiculars from A to BC, CD respectively. If /AB/ = 6.3cm. /AD/=4.9cm and /AN/
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Question 1142177: Show a sketch for the following information
ABCD is a parallelogram and line AM, line AN are the perpendiculars from A to BC, CD respectively. If /AB/ = 6.3cm. /AD/=4.9cm and /AN/ =4.2cm, calculate the area of the parallelogram and hence find /AM/
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
here's my diagram.
area of a parallelogram is equal to base * height.
in the normal figure, base is equal to DC which is equal to 6.3 and height is equal to AN which is equal to 4.2
the area of the parallelogram is therefore 6.3 * 4.2 = 26.46.
when you rotate the figure 90 degrees in a clockwise direction, the base becomes equal to CB which is equal to 4.9 and the height becomes equal to AM which is what you want to find.
the area of the parallelogram remains the same.
therefore area = base * height which becomes 26.46 = 4.9 * height.
solve for height to get height = 26.49 / 4.9 = 5.4.
that's the length of AM which is the solution to this problem that you are looking for.
the length of AM is equal to 5.4
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