Try the following GMAT Problem Solving question on plane geometry and finding area of a rectangular picture frame.
Question 50:
The figure below shows a picture frame that consists of a rectangular photograph(white region) surrounded by a border of uniform width of $x$ inches. The perimeter of the photograph is $27$ inches, and the area of the border(grey region) is $70$ square inches. What is the perimeter in inches of the entire picture frame including the border?

$\quad 37$

$\quad 43$

$\quad 48$

$\quad 51$

$\quad 56$
Leave a Reply