Question

Construct a rhombus rose with RD=5cm and RS=8cm find it's area

Answer 1

Appropriate Question :-

Construct a rhombus rose with RO = 5 cm and RS = 8 cm find it's area.

$\large\underline{\sf{Solution-}}$

Steps of Construction :-

Step :- 1. Draw RS = 8 cm

Step :- 2. Taking R as centre and radius 5 cm, draw two arcs on both sides of RS.

Step :- 3. Now, taking S as centre and radius 5 cm, draw two arcs on both sides of RS intersecting the previous arcs at O and E.

Step :- 4 Join OR, OS, RE and SE

Thus,

• ROSE is required rhombus.

To find area of rhombus :-

• Join OE and measure OE.

• We get, OE = 6 cm.

Now, we have measures of diagonals of rhombus as

• RS = 8 cm

• OE = 6 cm.

$\rm :\longmapsto\:Area_{(rhombus \: ROSE)} = \dfrac{1}{2} \times RS \times OE$

$\rm :\longmapsto\:Area_{(rhombus \: ROSE)} = \dfrac{1}{2} \times 8 \times 6$

$\bf :\longmapsto\:Area_{(rhombus \: ROSE)} = 24 \: {cm}^{2}$