If the diagonal of a square is twelve multiplay by square root of two. then find the perimeter
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Answers
Answered by
18
Answer:
perimeter = 4×12=48 cm.
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Answered by
0
Answer:
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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