Question

area of square is 200 CM square then its diagonal is

Answer 1

Area of square = 200cm²
(Side)²=200 cm²
Side=√200cm²
side=10√2 cm
Diagonal of square = √2×side = √2×10√2
=20 cm

Answer 2

Answer:

$diagonal \: of \: the \: square \\= 20 \:cm$

Step-by-step explanation:

$Given ,\\Area \: of \: the \:square (A) = 200\:cm^{2}$

$Let \\\: diagonal \: of \: the \: square = d \:cm$

$We \:know \: that,\\\boxed {\frac{d^{2}}{2}=A}$

$\implies \frac{d^{2}}{2}=200$

$\implies d^{2}=200 \times 2$

$\implies d^{2}= 400$

$\implies d= \sqrt{400}\\=\sqrt{(20)^{2}}\\=20\:cm$

Therefore,.

$diagonal \: of \: the \: square\\ = 20 \:cm$

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