If figure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 1

1.	If figure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.
Answer» In parallelogram ABCD, AB = 16 cm, AE = 8 cm and CF = 10 cm Since, opposite sides of a parallelogram are equal, then AB = CD = 16 cm We know, Area of parallelogram = Base x Corresponding height Area of parallelogram ABCD: CD x AE = AD x CF 16 x 18 = AD x 10 AD = 12.8 Measure of AD = 12.8 cm

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

Answer»

In parallelogram ABCD, AB = 16 cm, AE = 8 cm and CF = 10 cm

Since, opposite sides of a parallelogram are equal, then

AB = CD = 16 cm

We know, Area of parallelogram = Base x Corresponding height

Area of parallelogram ABCD:

CD x AE = AD x CF

16 x 18 = AD x 10

AD = 12.8

Measure of AD = 12.8 cm