Question

find the side of a square which has the same area has a rhombus of side 18 cm and height 4.5 CM​

Answer 1

Correct Question:-

Find the side of a square which has the same area as a rhombus of side 18 cm and height 4.5 CM.

Given that

• Side of rhombus = 18cm

• Height of rhombus = 4.5 cm

• Area of square is equal to area of rhombus

To find:-

• Side of square

$\huge\sf{\underline{\underline{Answer}}}$

$\sf\boxed{Area\: of\: rhombus\: = \:Side\: ×\:Height}$

= 18 cm × 4.5 cm

= 81 cm^2

given, Area of Square = Area of Rhombus

let x be side of square

so , area of square=$(side)^2$

$x {}^{2} = 81 \\ \\ x = 9$

So , side of square is 9 cm.

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Answer 2

$\begin{lgathered} \red{\bf{Given}}\begin{cases}\underline{\footnotesize\sf{\star\:\:Dimensions\:of\:the\:rhombus}}\\\sf{Length(l)=18cm }\\\sf{height(h)=4.5cm}\\ \sf{\footnotesize\bf{area \: of \: square = area \: of \: rhombus}} \\ \sf \: side \: of \: square \: = ?\end{cases}\end{lgathered}$

$\Large\bold\star\underline{\underline\textbf{Formula\:used}}$

$\green{ \bf \: area \: of \: square \: = {side}^{2} } \\ \pink{\bf \: area \: of \: rhombus \: = side \times height}$

_______________________________

Comparing Both we get,

$\red\leadsto \: {side}^{2} = 18 \times 4.5 \\ \\ \red\leadsto \: {side}^{2} =81 \\ \\ \red\leadsto \: side = \sqrt{81} \\ \\ \red\leadsto \: \boxed{ \red{side_{square} = 9\: cm}}$

Hence, Side of Square will be 9cm...

$\large\underline\textbf{Hope it Helps You.}$

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