Question

The area of rhombus whose side is 30cm and one of the diagonal is 40cm,is approx

Answer 1

Diagonal of Rhombus = 40cm

Area of Rhombus = 1/2( Diagonal)²


= 1/2×(40)² = 1/2× 1600 = 800 Cm²

Answer 2

Answer:

The area of rhombus is 894.43 cm².

Step-by-step explanation:

The side length of rhombus is 30 cm and the one of the diagonal is 40 cm.

Diagonal of a rhombus divides the area in two equal triangles.

All the sides of a rhombus are same.

Using heron's formula the Area of a triangle is

$A=\sqrt{s(s-a)(s-b)(s-c)}$

Where,

$s=\frac{a+b+c}{2}$

$s=\frac{30+30+40}{2}=50$

Area of one triangle is

$A=\sqrt{50(50-30)(50-30)(50-40)}$

$A=447.2136$

The area of rhombus is twice of the area of triangle

$A=2\times 447.2136=894.4272\approx 894.43$                                      

Therefore the area of rhombus is 894.43 cm².