if the diagonal of a square is 12√2cm find its side. (1)12.

1 thought on “if the diagonal of a square is 12√2cm find its side. (1)12.”

1. Answer:

   Correct option is

   C

   48 cm

   Perimeter of the square (P)= 48 units

   Step-by-step explanation:

   Let side ofasquare=aunits

   Diagonal(d)=12√2units/*given

   Now ,

   \boxed {Area \: of \the \: square (A)\\=a^{2}=\frac{d^{2}}{2}}

   a^{2} = \frac{(12\sqrt{2})^{2}}{2}

   \implies a^{2}=\frac{12^{2}\times 2}{2}

   \implies a^2 = (12\:unit)^{2}

   \implies a = \sqrt{12^{2}}

   \implies a = 12\: units

   Perimeter \: of \: the \: square (P) = 4r\\=4 \times 12 \:units

   \implies P = 48 \: units

   Therefore,

   Perimeterofthesquare(P)=48units

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