Question

Construct the parallelograms with the given measurements and find their area.
ARTS, AR = 6 cm, RT = 5 cm and ∠ART = 70°.
$\left[5\right]$

Answer 1

In the Parallelogram ARTS,
AR = 6 cm RT = 5 cm and ∠ART = 70°

steps:
Draw a line segment AR = 6 cm.
Make an angle ∠ART = 70° at R on AR
With R as centre, draw an arc of radius 5 cm cutting RX at T Draw a line TY parallel to AR through T.
With T as centre, draw an arc of radius 6 cm cutting TY at S. Join AS ARTS is the required parallelogram.
$\left[1\right]$


$\left[3\right]$
Calculation of area:

Area of the parallelogram ARTS = b x h sq. units
= 6 x 4.7
= 28.2 sq. cm
$\left[1\right]$