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let side of larger square be = S
let side of smaller square be = s
A.T.Q,
9 × s × s = S ×S
3 × s × 3 × s = S × S
(3s)^2 = S^2
Square rooting both sides ,
S = 3s
perimeter of smaller square + perimeter of larger square = 200
4S + 4s = 200
4(S+s) = 200
S+s = 50
we know S = 3s
so,
3s + s = 50
4s = 50
s = 12.5 cm
So , S = 3 × 12.5 = 37.5 cm
perimeter of larger square = 4 × 37.5
= 150 cm
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