Question

What is the area and perimeter of a square whose side is 32 upon 3 centimeter?

Please help me I have to complete this assignment by today and please don't give irrelevant answers.​

Answer 1

$\Large{\underline{\underline{\mathfrak{\tt{\red{Question}}}}}}$

What is the area and perimeter of a square whose side is 32/3 centimeter ?

$\Large{\underline{\underline{\mathfrak{\tt{\red{Solution}}}}}}$

$\Large{\underline{\mathfrak{\tt{\orange{Given}}}}}$

• Side of Square = 32/3 cm

$\Large{\underline{\mathfrak{\tt{\orange{Find}}}}}$

• Perimeter & Area of Square

$\Large{\underline{\underline{\mathfrak{\tt{\red{Explanation}}}}}}$

Important Formula

$\bigstar\small\boxed{\underline{\tt{\blue{\:Perimeter_{square}\:=\:4\times(side)}}}}$

$\bigstar\small\boxed{\underline{\tt{\blue{\:Area_{square}\:=\:(side)^2}}}}$

So, Now Calculate perimeter of Square,

$:\mapsto\tt{\:perimeter_{square}\:=\:4\times \dfrac{32}{3}} \\ \\ :\mapsto\tt{\orange{\:Perimeter_{square}\:=\:\dfrac{128}{3}\:\:cm}}$

_______________________

Now, Calculate Area of Square

$:\mapsto\tt{\:Area_{square}\:=\:(\dfrac{32}{3})^2} \\ \\ :\mapsto\tt{\:Area_{square}\:=\:\dfrac{32}{3}\times \dfrac{32}{3}} \\ \\ :\mapsto\tt{\orange{\:Area_{square}\:=\:\dfrac{1024}{9}\:\:cm^2}}$

____________________

$\Large{\underline{\mathfrak{\tt{\red{Hence}}}}}$

• Area of Square be = 1024/9 cm²
• Perimeter of Square be = 128/3 cm

_________________

Answer 2

Answer:

⋆ DIAGRAM :

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\linethickness{0.5mm}\put(7.7,3){\large\sf{A}}\put(7.1,2){\large{ \sf{}^{32}\!/{}_{3}\:cm }}\put(7.7,1){\large\sf{B}}\put(9,0.7){\large{ \sf{}^{32}\!/{}_{3}\:cm }}\put(10.6,1){\large\sf{C}}\put(8,1){\line(1,0){2.5}}\put(8,1){\line(0,2){2}}\put(10.5,1){\line(0,3){2}}\put(8,3){\line(3,0){2.5}}\put(10.6,3){\large\sf{D}}\end{picture}$

$\rule{140}{1}$

$\underline{\bigstar\:\boldsymbol{Perimeter\:of\:the\: Square :}}$

$:\implies\sf Perimeter=4 \times Side\\\\\\:\implies\sf Perimeter=4 \times \dfrac{32}{3}\:cm\\\\\\:\implies\sf Perimeter=\dfrac{128}{3}\:cm\\\\\\:\implies\underline{\boxed{\sf Perimeter=42.67 \:cm}}$

⠀

$\therefore\:\underline{\textsf{Hence, Perimeter of the Square is \textbf{42.67 cm}}}.$

$\rule{180}{2}$

$\underline{\bigstar\:\boldsymbol{Area\:of\:the\: Square :}}$

$:\implies\sf Area=(Side)^2\\\\\\:\implies\sf Area=\left(\dfrac{32}{3}\:cm\right)^2\\\\\\:\implies\sf Area=\dfrac{1024}{9}\:cm^2\\\\\\:\implies\underline{\boxed{\sf Area=113.78\:cm^2}}$

⠀

$\therefore\:\underline{\textsf{Hence, Area of the Square is \textbf{113.78 cm ^\text2 }}}.$