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Answer :
In parallelogram ABCD, CD = AB = 16 cm [Opposite sides of a parallelogram are equal]
We know that,
Area of a parallelogram
= Base x Corresponding altitude
\(\Rightarrow \)Area of parallelogram ABCD
= CD x AE ...(i)
Also, Area of parallelogram
= Base x Corresponding altitude
\(\Rightarrow \) Area of parallelogram ABCD
= AD x CF ...(ii)
Thus, from (i) and (ii), we get,
CD x AE = AD x CF
\(\Rightarrow \) 16cm x 8cm = AD x 10cm
\(\Rightarrow \) AD = \(\frac{16cm x 8cm}{10cm} \)
\(\Rightarrow \) AD = 12.8cm
\(\therefore\) the length of AD is 12.8 cm.