Question

The area of a rhombus is 32 sq.cm and the length of one of the diagonal is 8cm. Calculate the length of the other diagonal?​

Answer 1

area of R= 1/2*D1*D2
32 =1/2*8*D2
32/4=D2
D2=8cm answer

Answer 2

Given :

Area of Rhombus is 32 cm² .

Length of one diagonal is 8 cm .

To Find :

Length of other Diagonal .

Solution :

$\longmapsto\tt{{d}_{1}=8\:cm}$

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:Rhombus=\dfrac{1}{2}\times{{d}_{1}}\times{{d}_{2}}}$

Putting Values :

$\longmapsto\tt{32=\dfrac{1}{{\not{2}}}\times{{\not{8}}}\times{{d}_{2}}}$

$\longmapsto\tt{32=4\:{d}_{2}}$

$\longmapsto\tt{{d}_{2}=\cancel\dfrac{32}{4}}$

$\longmapsto\tt\bf{{d}_{2}=8\:cm}$

So , The Length of other diagonal of the Rhombus is 8 cm .

____________________

VERIFICATION :

$\longmapsto\tt{32=\dfrac{1}{2}\times{{d}_{1}}\times{{d}_{2}}}$

$\longmapsto\tt\boxed{32=\dfrac{1}{2}\times{8}\times{8}}$

$\longmapsto\tt{32=\cancel\dfrac{64}{2}}$

$\longmapsto\tt\bf{32=32}$

HENCE VERIFIED✅