A rectangular photograph is surrounded by a border that is 3 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 6 inches wide on each side, the total area would have been (M + 178) square inches. What is the perimeter of the photograph, in inches?
Choices.
A) 34
B) 36
C) 38
D) 40
E) 20
Let Length and Breadth of photograph be L and B respectively.   Perimeter is given by 2*(L+b) -----(1)   According to the question:   (L+6)(B+6) = m ----(2)   and   (L+12)(B+12) = m + 178 ---------&gt; (L+12)(B+12) - 178 = m ------(3)   20quating (2) and (3)   (L+6)(B+6) = (L+12)(B+12) - 178   LB + 6L + 6B +36 = LB + 12L + 12B + 144 -168   Simplify   6L + 6B = 60 ------&gt; 2(L+B) = 20 (Check eq (1))   Answer is 20
<result>E</result>
A rectangular photograph is surrounded by a border that is 3 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 6 inches wide on each side, the total area would have been (M + 178) square inches. What is the perimeter of the photograph, in inches?