Question

In the given figure, ABCD is parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

Answer 1

In parallelogram ABCD, $CD=AB=16cm$

[Opposite sides of a parallelogram are equal]

We know that

Area of a parallelogram = Base $\times$ Corresponding altitude

Area of parallelogram ABCD $=CD\times AE=AD\times CF$

$16cm\times 8cm=AD\times 10cm$

$AD=\frac{16\times 8}{10}=12.8cm$

Thus, the length of $AD$ is $12.8cm$.