Question

Construct a parallelogram BEAR with BE = 7 cm, BA = 7.5 cm and $\angle$ BEA = 80${}^{\circ }$ . Also find its area.

Answer 1

Given: BE = 7cm, BA = 7.5cm and $\angle$ BEA = 80${}^{\circ }$


Steps:

Step 1. Draw a line segment BE = 7 cm.

Step 2. Make an angle $\angle$ BEX = 80${}^{\circ }$ at E on BE .

Step 3. With B as centre, draw an arc of radius 7.5 cm cutting EX at A and Join BA.

Step 4. With B as centre, draw an arc of radius equal to the length of AE.

Step 5. With A as centre, draw an arc of radius 7cm. Let both arcs cut at R.

Step 6. Join BR and AR. 7. BEAR is the required parallelogram.

By measuring the height of parallelogram = 4.1 cm

So, Area of the parallelogram BEAR = bh sq.units

$=7\times 4.1=28.7$ sq.cm