Question

Area of a square frame is 2061 cm2. Find the perimeter of the frame.

Answer 1

$\huge\sf\pink{Answer}$

☞ Perimeter of the square frame is 181.6 cm

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$\huge\sf\blue{Given}$

✭ Area of a square frame is 2061 cm²

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$\huge\sf\gray{To \:Find}$

◈ The Perimeter of the Frame?

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$\huge\sf\purple{Steps}$

$\large\sf\star\: Diagram\:\star$

$\setlength{\unitlength}{1.6mm}}\begin{picture}(30,20)\linethickness{0.3mm}\put(0,0){\line(0,1){30}}\put(0,0){\line(1,0){30}}\put(0,30){\line(1,0){30}}\put(30,0){\line(0,1){30}}\put(-3,29.5){\sf A}\put(-3,-0.5){\sf B}\put(-6.5,15){\sf a}\put(31,15){\sf a}\put(32,29.5){\sf D}\put(32,-0.5){\sf C}\put(12,-2){\sf a}\put(12,31.5){\sf a}\end{picture}$

Area of a square is given by,

$\underline{\boxed{\sf{Area\:of\: square=a^2}}}$

$\bullet\:\underline{\textsf{As Per the Question}}$

➢ $\sf{a^2=2061}$

➢ $\sf{a=\sqrt{2061}}$

➢ $\sf\orange{a= 45.4}$

Perimeter of a square is given by,

$\underline{\boxed{\sf{Perimeter\:of\: square=4a}}}$

Perimeter of the square frame,

➝ $\sf 4 \times a$

➝ $\sf 4 \times 45.4 \ cm$

➝ $\sf\red{181.6 \ cm }$

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