Bunuel wrote:

Three identical squares are inscribed within a rectangle as shown above. If the area of the rectangle is 216, what is the area of one of the squares?

A. 36

B. \(36\sqrt{2}\)

C. 54

D. \(54\sqrt{2}\)

E. 72

Attachment:

The attachment **InscribedSquares3.png** is no longer available

Please see below fig

Let side of square =a

Length of rectangle = 3* diagonal of square (as 3 squares is there) = 3*a √2

Breadth of square = diagonal of square =a √2

given Length * breadth = 216

substituting above considered diagonal values

3*a √2 * a √2 =216

a^2 =216/6 =36 unit^2

Ans A

Attachments

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