Question

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

FACE, FA = 6 cm and FC = 8 cm

Answer 1

Given FA = 6 cm and FC = 8 cm

Rough Diagram


Steps:

1. Drawn a line segment FA = 6 cm.

2. With F and A as centres, drawn arcs of radii 8 cm and 6 cm respectively and let them cut at C.

3. Joined FC and AC.

4. With F and C as centres, drawn arcs of radius 6 cm each and let them cut at E.

5. Joined FE and EC.

6. FACE is the required rhombus.

Calculation of Area:

Area of the rhombus = `1/2 xx "d"_1 xx "d"_2  "sq.units"`

= `1/2 xx 8 xx 9  "sq.units"`

= 36 cm