If two corresponding sides of two similar figures are 4 in and 7 in respectively and the area of the larger is 98 sq in fin the are of the smaller figure

Hello!

As we can see the larger figure will have the larger corresponding side length, which is seven. We can see that seven is multiplied by 14 to get to 98, but we cannot guarantee that this polygon is a square. Therefore we will use a proportion.



There are two ways you could solve this. You could see how what you multiply 7 by to get to 4 and use that same multiplier on 98. You multiply 7 by 4/7 to get to 4. 

98(4/7)=56

Just to check, we will cross multiply and divide.

98(4)/7
392/7=56

Therefore, the area of the smaller figure is 56 square inches.

I hope this helps!