Question

Two similar polygons have areas of 16 square inches and 64 square inches. The ratio of a pair of corresponding sides is 1/4.

Answer 1

So, we have a triangle with the angles of >> 90, 45 and 45 degrees.
Lets say that two of the sides of this triangle is >>4 inches long-, the area would be equal to >>16sq Inches.

Now, If two sides is >> 8 inches long, the area of the triangle would be >> 64sq inches. 

Finally, the ratio is >> 8/4=1/2.
 
So based off this (the work above), the answer would be false.