In Fig. 9.35, find the area of parallelogram ABCD if the area of the shaded triangle is 9 cm².

Solution:

Given, area of the shaded triangle is 9 cm²

We have to find the area of the parallelogram ABCD.

Area of triangle = 1/2 × base × height

9 = 1/2 × 3 × h

9(2) = 3 × h

h = 9(2)/3

= 3(2)

h = 6 cm

Area of parallelogram = base × corresponding height

= BE × h

= (3 + 4) × 6

= 7(6)

= 42 cm²

Therefore, the area of parallelogram is 42 cm².

✦ Try This: The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find the area of the lawn excluding the area of the flower bed.

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

NCERT Exemplar Class 7 Maths Chapter 9 Problem 81

In Fig. 9.35, find the area of parallelogram ABCD if the area of the shaded triangle is 9 cm².

Summary:

In Fig. 9.35, the area of parallelogram ABCD if the area of the shaded triangle is 9 cm², is 42 cm²

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