If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the shorter sides?	Choose one:
A) 4
B) 7
C) 8
D) 13
E) 26
Assume the sides to be x and y.   Perimeter = 2x + 2y = 42   Hence x + y = 21 - (i)   Area = xy = 104 - (ii)   Since these are the sides of a billboard, we are dealing with positive numbers only and the options tell us that they are integers.   104 can be written as a product of two numbers as 104*1 or 52*2 or 26*4 or 13*8   Of these, only 13*8 satisfies the equation (i)   Hence the lengths are 13 and 8   Length of shorter side = 8   ANSWER:8
<result>C</result>
If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the shorter sides?