Question

Two similar polygons have areas of 16 square inches and 64 square inches. The ratio of a pair of corresponding sides is 1/2.

Answer 1

False, it's 1/2.
Let's say you have a triangle with angles of 90°, 45° and 45°. If two sides of the triangle is 4 inches long, the area is 16 square inches. If two sides of it is 8 inches long, the area is 64 square inches.
So, the ratio is 8/4=1/2

Answer 2

True

Explanation:

When two polygons are similar the area of similar figure is the square of the ratio of its corresponding sides.

The given polygons have area given as 16 square inches and 64 square inches.Let the corresponding sides of the polygons be x and y .

Then,

`(16)/(64) =(x^(2) )/(y^(2) )`

`(1)/(4) =((x)/(y) )^(2)`

`(x)/(y) =(1)/(2)`

Or we can say The ratio of a pair of corresponding sides is 1/2.