Question

Math mensuration. the diagonal of a square is 30 cm long,find its area

Answer 1

hey...

here is ur answer...


to find the area of a square we need to multiply the sides. S*S

${s}^{2}$

diagnol is 30cm

square angle is 90° , so we can find the side by applying puthogoreus theorm.

the sum of square of the sides is equal to the square of the diagnol.

${s}^{2} + {s}^{2} = {d}^{2}$

s= side
d= diagnol

${2s}^{2} = {30}^{2}$

${2s}^{2} = 900$

${s}^{2} = 450$

$s = \sqrt{450}$

$= \sqrt{9} \times \sqrt{50}$
$= 3 \sqrt{50}$

this is the side

area

$3 \sqrt{50} \times 3 \sqrt{50}$


$9 \times 50$

$450 {cm}^{2}$

hope this helps!

Answer 2

450 cm2 is the right answer dude .