Two sides of a parallelogram are 20cm and 25cm. if the height corresponding to
the side of length 25cm is 10cm, calculate the area of the parallelogram. Also find
the height corresponding to the side 20cm.
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Let ABCD is a parallelogram with longer side
AB = 25 cm and altitude AE = 10 cm.
Therefore AB = CD (opposite sides of parallelogram are equal).
The shorter side is AD = 20 cm and the corresponding altitude is CF.
We know that area of a parallelogram
= Base x Height
We have two altitudes and two corresponding bases.
So, by equating them AD x CF = CD x AE 20 x CF = 25 x 10 CF = 12.5 cm
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