Given MA = 6.4 cm and ∠M = 80°
Steps :
(i) Drawn a line segment MA = 6.4 cm.
(ii) At M on MA, made ∠AMX = 80°
(iii) With M as centres, drawn arc of radius 6.4 cm. Let it cut MX at E.
(iv) With E and A as centres, drawn arcs of radius 6.4 cm each and let them cut at K.
(v) Joined EK and AK.
(vi) MAKE is the required rhombus.
Calculation of Area :
Area of the rhombus = 12 × d1 × d2 sq.units
= 12 × 8.2 × 9.8 cm2
= 40.18 cm2