Question

Two similar hexagons have areas of 36 square inches and 64 square inches. The ratio of the corresponding sides of the hexagons is _____.

Answer 1

Look at the figure above.
There are 2 squares.
One is 1 by 1. The other in is 3 by 3.
The ratio of the lengths of the sides of the larger one to the smaller one is 3 to 1.

Ok so far?

Answer 2

yes

Answer 3

Now can you find the areas of the two squares?

Answer 4

Area of square = square of length of side

Side length = 1. Area = 1^2 = 1
Side length 3. Area = 3^2 = 9

The areas are 1 and 9.

Ok?