Question

find the length of diagonal of square if area of square is 484 sq. m

Answer 1

Hello......
Answer.......

Area of square = 484m sq.
side*side = 484
(side)^2 = 484
side = √484
side= 22

(all angles of square are 90 degree)
${(side)}^{2} + {(side)}^{2} = {(diagnal)}^{2} \\ \\ {(22)}^{2} + {(22)}^{2} = {(diagonal)}^{2} \\ \\ 484 + 484 = {(diagonal)}^{2} \\ \\ 968 = {(diagonal)}^{2} \\ \\ \sqrt{968} = diagonal \\ \\ 31.11 = diagonal$

diagonal = 31.11 m




Hope it helped......
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Answer 2

Hello


Given :-
Area of square = 484 m².

Area of square = 1/2 x d² 

484 = 1/2 X d²
968 = d²
d = √2 x √2 X √2 X √11 X √11
d = 2√2 X 11
d = 22√2 m.