Answer:- C is the correct answer. The approximate base area of the resulting figure is 79 Sq.in.
Explanation:-
Given :- A rectangle which is rotated about a line k .
According to the picture the line k dividing the length of the rectangle into two equal halves of 5 inches.
If the rectangle is rotated about line k , the n it will form a cylinder which is the resulting figure with height is same the breadth of rectangle i.e.4 inches and has base of circle with radius is same as half of length i.e. 5 inches.
Now,the base area of the resulting figure (circle)=[tex]\pi\ r^2=3.14\times5^2=3.14\times25=78.5\ sq.\ in.\approx79\ sq.\ in.[/tex]
Therefore, The approximate base area of the resulting figure is 79 Sq.in.
