A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 4 inches wide on each side, the total area would have been (M + 108) square inches. What is the perimeter of the photograph, in inches? Choose the correct choice from the following answers
A) 34	B) 36	C) 16	D) 40	E) 42
Let Length and Breadth of photograph be L and B respectively.   Perimeter is given by 2*(L+b) -----(1)   According to the question:   (L+2)(B+2) = m ----(2)   and   (L+8)(B+8) = m + 108 ---------&gt; (L+8)(B+8) - 108 = m ------(3)   Equating (2) and (3)   (L+2)(B+2) = (L+8)(B+8) - 108   LB + 2L + 2B + 4 = LB + 8L + 8B +64 -108   Simplify   6L + 6B = 48 ------&gt; 2(L+B) = 16 (16heck eq (1))   Answer is 16
<result>C</result>
A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 4 inches wide on each side, the total area would have been (M + 108) square inches. What is the perimeter of the photograph, in inches?