Answer:
6 feet
Step-by-step explanation:
Let the length of side length in polygon A be represented by x. Since the two polygons are similar, then it can be deduced that;
Area scale factor = [tex](linear scale factor)^{2}[/tex]
linear scale factor = [tex]\sqrt{Area scale factor}[/tex]
Area scale factor = [tex]\frac{98}{18}[/tex]
So that,
linear scale factor = [tex]\sqrt{\frac{98}{18} }[/tex]
= 2.3333
The length of side of polygon A = [tex]\frac{14}{2.3333}[/tex]
= 6.0085
Therefore, the corresponding side length of polygon A is 6 feet.