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# In Fig. 9.10, ABCD is a parallelogram, in which AB = 8 cm, AD = 6 cm and altitude AE = 4 cm. Find the altitude corresponding to side AD.

**Solution:**

We know that

__Area of parallelogram__ ABCD = AB × AE

From the figure

Area of parallelogram ABCD = 8 × 4

= 32 cm²

Consider h as the altitude corresponding to AD

h × AD = 32

Substituting the values

h × 6 = 32

Dividing both sides by 6

h = 32/6 = 16/3

Therefore, the altitude corresponding to side AD is 16/3 cm.

**✦ Try This: **Area of parallelogram with base 2 cm and height 10 cm is ____ cm²

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 11

**NCERT Exemplar Class 7 Maths Chapter 9 Sample Problem 11**

## In Fig. 9.10, ABCD is a parallelogram, in which AB = 8 cm, AD = 6 cm and altitude AE = 4 cm. Find the altitude corresponding to side AD.

**Summary:**

In Fig. 9.10, ABCD is a parallelogram, in which AB = 8 cm, AD = 6 cm and altitude AE = 4 cm. The altitude corresponding to side AD is 16/3 cm

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