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 5 inches wide on each side, the total area would have been (M + 180) square inches. What is the perimeter of the photograph, in inches? Choose the most appropriate option:
A) 21	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)   21ccording to the question:   (L+2)(B+2) = m ----(2)   and   (L+10)(B+10) = m + 180 ---------&gt; (L+10)(B+10) - 180 = m ------(3)   Equating (2) and (3)   (L+2)(B+2) = (L+10)(B+10) - 180   LB + 2L + 2B + 4 = LB + 10L + 10B + 100 -180   Simplify   8L + 8B = 84 ------&gt; 2(L+B) = 21 (Check eq (1))   21nswer is 21
<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 5 inches wide on each side, the total area would have been (M + 180) square inches. What is the perimeter of the photograph, in inches?