BANK, BA = 7 cm, BK = 5.6 cm and ∠KBA = 85°.

Question

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

BANK, BA = 7 cm, BK = 5.6 cm and ∠KBA = 85°.

Answer 1

Given:

In the parallelogram BANK, BA =7 cm, BK = 5.6 cm, and ∠KBA = 85°

Construction:

Steps:

1. Draw a line segment KB = 5.6 cm.
2. Make an angle ∠KBA = 85° at B
3. Draw an arc of radius 7 cm with B as centre on BX.
4. Draw a line AY parallel to KB.
5. With A as centre, draw an arc of radius 5.6 cm cutting AY at N. Join KN
6. BANK is the required parallelogram.

Calculation of area:

Area of the Parallelogram BANK = b x h sq. units

= 5.6 x 7 

= 39.2 sq. cm