humtum0 wrote:

In the figure shown above, two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 18 by squareroot2, then what is the perimeter of each square?

(A) 8 by squareroot2

(B) 12

(C) 12 by squareroot2

(D) 16

(E) 18

Please....Please explain the answer

OA will be posted next day

B.

side of each square = x

diagnol of the square = hight of the rectangle = x sqrt(2)

length of the rectangle = 2 x sqrt(2)

perimeter of the rectangle = 2 [2 x sqrt(2) + x sqrt(2)]

18 sqrt(2) = 2 [2 x sqrt(2) + x sqrt(2)]

x = 3

perimeter of each square = 12