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

RACE, RA = 5.5 cm and AE = 7 cm

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Given RA = 5.5 cm and AE = 7 cm

Steps :

(i) Drawn a line segment RA = 5.5 cm.

(ii) With R and A as centres, drawn arcs of radii 5.5 cm and 7 cm respectively and let them cut at E.

(iii) Joined RE and AE.

(iv) With E and A as centres, drawn arcs of radius 5.5 cm each and let them cut at C.

(v) Joined AC and EC.

(vi) RACE is the required rhombus.

Calculation of Area :

Area of the rhombus = 1/2 × d1 × d2 sq.units 

= 1/2 × 7 × 8.5 cm2

= 29.75 cm2

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