In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Problem: if a rectangular billboard has an area of 120 square feet and a perimeter of 46 feet , what is the length of each of the shorter sides ? 
Options: a ) 4 , b ) 7 , c ) 8 , d ) 13 , e ) 26
c

Problem: the area of the largest circle that can be drawn inside a square of side 70 cm in length is : 
Options: ['a ) 3600', 'b ) 2646', 'c ) 3850', 'd ) 4215', 'e ) 5205']
c

Problem: a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 140 square feet and its length is 4 feet longer than its width . if the uniform width between the rug and room is 4 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ? 
Options: a ) 32 , b ) 36 , c ) 40 , d ) 46 , e ) 256

e