draw the graph of each of the following in a recreation and answer the following question
Answers
Answer:
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}⟼d
1
=8cm
Using Formula :
\longmapsto\tt\boxed{Area\:of\:Rhombus=\dfrac{1}{2}\times{{d}_{1}}\times{{d}_{2}}}⟼
AreaofRhombus=
2
1
×d
1
×d
2
Putting Values :
\longmapsto\tt{32=\dfrac{1}{{\not{2}}}\times{{\not{8}}}\times{{d}_{2}}}⟼32=
2
1
×
8×d
2
\longmapsto\tt{32=4\:{d}_{2}}⟼32=4d
2
\longmapsto\tt{{d}_{2}=\cancel\dfrac{32}{4}}⟼d
2
=
4
32
\longmapsto\tt\bf{{d}_{2}=8\:cm}⟼d
2
=8cm
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}}}⟼32=
2
1
×d
1
×d
2
\longmapsto\tt\boxed{32=\dfrac{1}{2}\times{8}\times{8}}⟼
32=
2
1
×8×8
\longmapsto\tt{32=\cancel\dfrac{64}{2}}⟼32=
2
64
\longmapsto\tt\bf{32=32}⟼32=32
HENCE VERIFIED