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 3 inches wide on each side, the total area would have been (M + 52) square inches. What is the perimeter of the photograph, in inches? Choose one.
A) 10
B) 36
C) 38
D) 40
E) 42
Let Length and Breadth of photograph be L and B respectively.   Perimeter is given by 2*(L+b) -----(1)   10ccording to the question:   (L+2)(B+2) = m ----(2)   and   (L+6)(B+6) = m + 52 ---------&gt; (L+6)(B+6) - 52 = m ------(3)   Equating (2) and (3)   (L+2)(B+2) = (L+6)(B+6) - 52   LB + 2L + 2B + 4 = LB + 6L + 6B + 36 -52   Simplify   4L + 4B = 20 ------&gt; 2(L+B) = 10 (Check eq (1))   10nswer is 10
<result>A</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 3 inches wide on each side, the total area would have been (M + 52) square inches. What is the perimeter of the photograph, in inches?