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Construct the following rhombuses with the given measurements and also find their area.

MAKE, MA= 6.4 cm and ∠M = 80°

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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

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