Q30:

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 2 inches wide on each side, the total area would have been

(M + 52) square inches.  What is the perimeter of the photograph, in inches?

A.      34

B.      36

C.      38

D.     40

E.      42

I can only until

xy=M

(x+1)(y+1)=M+52

(x+1)(y+1)-xy=52

(x+2)y-xy=52

and solve x=25, y=26.

But can't find the perimeter=40, which is D.

Can anyone please help?

Thank you very much.

But according to , x=25, y=26, the answer is 2(25+26)=82

how come?