What is the area of the large square?

+1 vote

let the distance between length 4 and center of the figure be x

let the distance between length 6 and center of the figure be y

then 4+x=6+y or x=y+2 (1)

form the inner circle (6+y)*y=x*x (2)

from (1) and (2) x=4 and y=2

therefore length of smaller square is 8 and of larger square 16

thus area of larger square is 256

why (6+y) *y = x*x ?

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