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

1.	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 AB = 16 cm, AE = 8 cm CF = 10 cm. We know that are of parallelogram = Base × Height [Base = CD, height = AE] ABCD = CD × AE = 16 × 8 = 128 cm² Again, Area of parallelogram = Base × Height = AD × CF [Base = AD, height = CF] 128 = AD × 10 ⇒ AD =128/10 =12.8 cm

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 AB = 16 cm, AE = 8 cm CF = 10 cm.

We know that are of parallelogram = Base × Height [Base = CD, height = AE]

ABCD = CD × AE = 16 × 8 = 128 cm²

Again, Area of parallelogram = Base × Height = AD × CF [Base = AD, height = CF]

128 = AD × 10

⇒ AD =128/10 =12.8 cm