Question

□ABCD is parallelogram, AE Parallel DC. and CF parallel AD. if AB=16cm,AE=8cm and CF=10cm. find AD.

Answer 1

Hey !!

Here is your answer,,⤵⤵

AE = 8cm
DC = AB = 16cm
CF = 10cm
AD = BC = ?

Area of parallelogram = Base × Height

so,
Area of ABCD = DC × AE
= 16 × 8
= 128

Now again,
Area of ABCD = AD × CF
128 = AD × 10
AD = 128/10
AD = 12.8 cm

Hope This Answer Helps You...

THANKS. ^-^

Answer 2

Question :-

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

Answer :-

We have, AE ⊥ DC and AB = 16 cm

∵ AB = CD [Opposite sides of parallelogram]

∴ CD = 16 cm

Now, area of parallelogram ABCD = CD x AE

= (16 x 8) cm2 = 128 cm2 [∵ AE = 8 cm]

Since, CF ⊥ AD

∴ Area of parallelogram ABCD = AD x CF

⇒ AD x CF = 128 cm

⇒ AD x 10 cm = 128 cm2 [∵ CF= 10 cm]

⇒ AD = 128/10 cm = 12.8 cm 10

Thus, the required length of AD is 12.8 cm

Hope it helps ❤ Mrk as brainliest