Question

The area of a square is 450 sq. cm, the length of a diagonal is: ​

Answer 1

Answer:

30cm

Step-by-step explanation:

$area \: of \: square \: = 450 \\ a {}^{2} = 450 \\ a = \sqrt{450} \: \\ a = 15 \sqrt{2} \\ in \: a \: square \: length \: of \: diagonal = {a}^{2} + {a}^{2} \\ {15 \sqrt{2} }^{2} + {15 \sqrt{2} }^{2} = {d}^{2} \\ 450 + 450 = {d}^{2} \\ \sqrt{900 } = d \\ d = 30cm$