# In Fig Below, Abcd is a Parallelogram, Ae ⊥ Dc and Cf ⊥ Ad. If Ab = 16 Cm, Ae = 8 Cm and Cf = 10 Cm, Find Ad. - Mathematics

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

#### Solution

Given that,

In a parallelogram ABCD,CD  = AB = 16cm   [Opposite sides of a parallelogram are equal]
We know that,
Area of parallelogram = base corresponding attitude
Area of parallelogram ABCD = CD × AE = AD × CF

16cm × 8cm  = AD ×  10cm

 A D =  (16 × 8 ) / 10  cm = 12 . 8 cm

Thus, the length of AD is 12 . 8cm

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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 14 Areas of Parallelograms and Triangles
Exercise 14.2 | Q 1 | Page 15