Question

find the ratio of area of square of that of the square drawn on its diagonals ​

Answer 1

Answer:

16 :√2

Step-by-step explanation:

let side of square = 4 cm

area = (4)^2 = 16 cm^2

diagonal = √2×side = 4√2 cm

diagonal of square drawn on its diagonal = 4√2/ 2 = 2√2

side of drawn square (let it be x)

x^2 +x^2 = 2√2 => 2x^2 = 2√2

=>x^2 = √2 cm^2

ratio of their areas = 16 : √2

Answer 2

Answer:

4 : 1

Step-by-step explanation:

correcting a my mistake in above answer .

from the square drawn on diagonals, assumed side = 'x'

x^2 + x^2 = (2√2)^2

2x^2 = 8 => x^2 = 4

their areas ratio = 16 : 4 = 4 : 1