Question

Construct the parallelograms with the given measurements and find their area.
GAIN, GA = 7.5 cm, GI = 9 cm and ∠GAI – 100°
$\left[5\right]$

Answer 1

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 T.5 cm on IY cutting at N.
6. Join GN GAIN is the required parallelogram.$\left[1\right]$

$\left[3\right]$

Calculation of area:

Area of Parallelogram GAIN = b x h sq.units = 7.5 x 3.9
= 29.25 sq. cm
$\left[1\right]$