the diagnol of a square is 12√2 find the perimeter
Answers
Answered by
1
Answer:
p of square = d1×d2
12√2×12√2
288cm is the answer mark as brainlest
Answered by
0
Answer:
Perimeter of the square (P)= 48 units
Step-by-step explanation:
Let side of a square = a units
Diagonal (d) = 12√2 units /* given
/*We know that,
\boxed {Area \: of \the \: square (A)\\=a^{2}=\frac{d^{2}}{2}} */
Now ,
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,
Perimeter of the square (P)= 48 units
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