Question

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

LUCK, LC = 7.8 cm and UK = 6 cm

Answer 1

Given: LC = 7.8 cm and UK = 6 cm

Rough Diagram


Steps:

1. Drawn a line segment LC = 7.8 cm.

2. Drawn the perpendicular bisector XY to LC. Let it cut LC at ‘O’

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

4. Joined LU, UC, CK and LK.

5. LUCK is the required rhombus.

Calculation of Area:

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

= `1/2 xx 7.8 xx 6  "cm"^2`

= 23.4 cm²