Question

find the perimeter of a square if its diagonal is 10 under root 2 cm
$10 \sqrt{2}$
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Answer 1

Answer:

Step-by-step explanation:

the square of the diagonal is equal to twice the square of the side.

$D^{2} = 2s^{2}$

s = D/$\sqrt{2}$

s = 10$\sqrt{2}$ /$\sqrt{2}$

s = 10

therefore perimeter = 4 x side = 4 x 10 = 40cm

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Answer 2

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Diagonal of square =$\sqrt{2}a$

Where a is the side,

given, that Diagonal of square is 10√2 cm

so, $10\sqrt{2}= \sqrt{2}a$

${10=a}$

So, Side of square is 10 cm

Perimeter of square =$4 \times Side = 4 \times 10 = 40 cm$

Hence,

⠀⠀⠀⠀ ⠀The Perimeter of square is 40 cm.

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