Q. 55.0( 1 Vote )

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Given. ABCD is a parallelogram.

AC = 10 cm, BD = 8 cm

AOB = 100°

Formula used. Area of parallelogram = base × height

Steps of construction

Step 1 : Draw line segment AC of 10cm

Step 2 : Mark O as midpoint of AC

Step 3 : Draw line B’D’ through O which makes AOB’ = 120°

Step 4 : Make Arcs of 4cm form O on both sides of B’D’

Step 5 : Join AB;BC;CD;DA

Step 6 : Draw a perpendicular on AB from point D and name the intersection point as E

Area of parallelogram = base × height

= AB × DE

= 5.7cm × 6.9cm

= 39.33cm2

Conclusion. Hence; parallelogram ABCD is constructed and its area

is 39.33cm2

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