If the diagonal of a square is 12-2 cm- then the perimeter of square is

The correct option is B 48 cmPerimeter of the square (P)= 48 units #160;Step by step explanation:Let side ofasquare=aunitsDiagonal(d)=12 #8730;2units ...

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Standard VII

Mathematics

Perimeter of a Square

If the diagon...

Question

If the diagonal of a square is $12 \sqrt{2}$ cm, then the perimeter of square is ____

24

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24 \sqrt{2}

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48

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48 \sqrt{2}

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Solution

The correct option is B $48$ 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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If the diagonal of a square is 12√2 cm, then the perimeter of square is ____

The correct option is B 48 cmPerimeter of the square (P)= 48 units Step-by-step explanation:Let side ofasquare=aunitsDiagonal(d)=12√2units/*givenNow ,Therefore,Perimeterofthesquare(P)=48units

If the diagonal of a square is $12 \sqrt{2}$ cm, then the perimeter of square is ____