Question

Question 1
In the given figure, ABCD is parallelogram, $AE\perp DC$ and $CF\perp AD$. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

Answer 1

In parallelogram ABCD, CD = AB= 16 cm
[Opposite sides of a parallelogram are equal]
We know that,
Area of a parallelogram = Base $\times$ Corresponding altitude
Area of parallelogram $ABCD=CD\times AE=AD\times CF$
$16cm\times 8cm=AD\times 10cm$
$AD=\frac{16\times 8}{10}cm=12.8cm$
Thus, the length of AD is 12.8 cm.