Question

fill in the blanks to make a correct statement 27509 dash. 26215 + 1314 option a = b +. c > d <
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Answer 1

$\frak{\maltese\:Given} = \begin{cases} &\sf{One \:of\: the\: diagonals \:of\: a \:rhombus \:is\: 12\: cm\:.} \\\\\\\\\\\\ &\sf{Area \:of\: rhombus\: is\: 96\: cm^{2}.}\end{cases}$

$\boxed{\underline{\underline{\texttt{\maltese\:\:To\:find:-\:\:}}}}$

$\qquad\sf{:\implies\:The\:perimeter\:of\:the\:rhombus\:.}$

$\boxed{\underline{\underline{\texttt{\maltese\:\:Assume:-\:\:}}}}$

$\qquad\sf{:\implies\:Let\:the\:second\:diognol\:of\:the\:rhombus\:be\:=\:x}$

$\boxed{\underline{\underline{\texttt{\maltese\:\:Solution:-\:\:}}}}$

$\maltese$ Finding the other diagonal of the rhombus .

$\color{fuchsia}{\qquad\sf{:\implies\:Area\:of\:_{(Rhombus)}\:=\:\dfrac{1}{2}\:\times\:d_{1}\:\times\:d_{2}}}$

$\qquad\sf{:\implies\:96\:=\:\dfrac{1}{2}\:\times\:12\:\times\:x}$

$\qquad\sf{:\implies\:96\:=\:1\:\times\:6\:\times\:x}$

$\qquad\sf{:\implies\:\dfrac{96}{1\:\times\:6}\:=\:x}$

$\qquad\sf{:\implies\:\dfrac{96}{6}\:=\:x}$

$\qquad\sf{:\implies\:x\:=\:16}$

$\color{lime}{\underline{\sf{Therefore\:the\:other\:digonal\:of\:Rhombus\:(d_{2})\:is\:16cm\:.}}}$

$\qquad\qquad\underline{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}$

$\maltese$ Finding the perimeter of the rhombus .

Before finding the perimeter of the rhombus we have to find the side of the rhombus, So we will apply the Pythagorean theorem.

$\qquad\sf{:\implies\:c\:=\:\sqrt{a^{2}\:+\:b^{2}} }$

Here,

a = d₁(12/2 = 6)

b = d₂(16/2 = 8)

c = x

$\qquad\sf{:\implies\:x\:=\:\sqrt{(6)^{2}\:+\:(8)^{2}} }$

$\qquad\sf{:\implies\:x\:=\:\sqrt{36\:+\:64}}$

$\qquad\sf{:\implies\:x\:=\:\sqrt{100}}$

$\sf{:\implies\:x\:=\:10 }$

$\color{red}{\underline{\sf{Therefore\:The \:side \:of \:rhombus \:is \:10 \:cm\:.}}}$

$\qquad\qquad\underline{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}$

$\maltese$ Now the side of the rhombus is 10 cm ,so we will apply the formula [ Petrimter of the rhombus = 4 × side ] to find the perimeter .

$\qquad\sf{:\implies\:Perimeter\:of\:_{(Rohmbus)}\:=\:4\:\times\:side}$

$\qquad\sf{:\implies\:Perimeter\:of\:_{(Rohmbus)}\:=\:4\:\times\:10}$

$\qquad\sf{:\implies\:Perimeter\:of\:_{(Rohmbus)}\:=\:100\:cm\:.}$

$\color{aqua} {\underline{\sf{Therefore\:the\:perimeter\:of\:the\:rhombus\:is\:10\:cm\:.}}}$

Thanks!!

Answer 2

Step-by-step explanation:

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1 ) All Indians are one, regardless of their beliefsfestivalsdifferences2 )Distribution and circulation of information and ideas all over the world, has been made possible due tounityglobalizationfestivals

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1 ) All Indians are one, regardless of their beliefsfestivalsdifferences2 )Distribution and circulation of information and ideas all over the world, has been made possible due tounityglobalizationfestivals3 )regularly came down to Kerala to trade in spices. Kashmiri tradersMuslim Moroccan travellersJewish and Arab traders