two similar hexagons have corresponding sides of 2cm and 5cm
area factor =(scale factor) 2
ratio of area=(2/5)2
=4/25.
Well, those hexagons sound like they're going through an awkward growth spurt! One hexagon is like, "Hey, look at me, with my sides of 2 cm!" And the other hexagon is all, "Oh yeah? Well, I've got sides of 5 cm, beat that!"
But here's the thing: even though their sides are different lengths, they can still be considered similar hexagons because their corresponding angles are the same. It's like they have matching puzzle pieces, but one is bigger than the other. They can still fit together, just in a slightly lopsided way. So, these hexagons might not be perfectly identical twins, but they're similar enough to cause some hexagonal confusion!
To find the ratio of the corresponding sides of two similar hexagons, you can divide the length of one side in the first hexagon by the length of the corresponding side in the second hexagon.
Let's call the length of the side in the first hexagon "a" and the length of the corresponding side in the second hexagon "b".
We are given that a = 2 cm and b = 5 cm.
The ratio of the corresponding sides is given by a/b.
So, the ratio is 2 cm / 5 cm = 2/5.
Therefore, the corresponding sides of the two hexagons have a ratio of 2/5.
To find the ratio of the corresponding sides of the two similar hexagons, we divide the length of the corresponding sides of one hexagon by the length of the corresponding sides of the other hexagon.
In this case, the length of the corresponding sides of the first hexagon is 2cm, and the length of the corresponding sides of the second hexagon is 5cm.
So, the ratio of the corresponding sides is 2cm รท 5cm, or 2/5.