Carcass wrote:
Attachment:
GRE The figure above represents a square photograph.jpg
The figure above represents a square photograph bordered by a frame that has a uniform width of 3 inches. If the frame and the picture have the same area, and each of the photograph's sides measures x inches, which of the following equations is true?
A. \((x+6)^2=2x^2\)
B. \((x+3)^2=2x^2\)
C. \((x+9)^2=2x^2\)
D. \((x+3)^2=4x^2\)
E. \((x+6)^2=4x^2\)
Whenever we are given that -
The frame and the picture have the same areaTotal Area = 2 (Area of picture)Side of frame (including the picture) = \((x + 6)\)
Area (including the picture) = \((x + 6)^2\)
Side of picture = \(x\)
Area of picture = \(x^2\)
So, \((x + 6)^2 = 2x^2\)
Hence, option A