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

LUCK, LC = 7.8 cm and UK = 6 cm

1 Answer

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Best answer

Given LC = 7.8 cm and UK = 6 cm

Steps :

(i) Drawn a line segment LC = 7.8 cm.

(ii) Drawn the perpendicular bisector XY to LC. Let it cut LC at ‘O’

(iii) With O as centres, drawn arc of radius 3 cm on either side of O which cut OX at K and OY at U.

(iv) Joined LU, UC, CK and LK.

(v) LUCK is the required rhombus.

Calculation of Area :

Area of the rhombus = 12 × d1 × d2 sq.units 

= 12 × 7.8 × 6 cm2 

= 23.4 cm2

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