Question

Construct the following parallelograms with the given measurements and find their area.

GAIN, GA = 7.5 cm, GI = 9 cm and ∠GAI = 100°

Answer 1

Given: In the parallelogram GAIN,

GA = 7.5 cm, GI = 9 cm, and ∠GAI = 100°

Construction:

Steps:

1. Draw a line segment GA = 7.5 cm.

2. Make an angle GAI = 100° at A.

3. With G as centre, draw an arc of radius 9 cm cutting AX at I. Join GI.

4. Draw a line IY parallel to GA through I.

5. With I as centre, draw an arc of radius 7.5 cm on IY cutting at N. Join GN

6. GAIN is the required parallelogram.

Construction of area:

Area of the Parallelogram GAIN = b × h sq.units

= 7.5 × 39

= 29.25 sq.cm