All ACT Math Resources
Example Questions
Example Question #51 : Act Math
Two hexagons are similar. If they have the ratio of 4:5, and the side of the first hexagon is 16, what is the side of the second hexagon?
This type of problem can be solved through using the formula:
If the ratio of the hexagons is 4:5, then and
.
denotes area. The side length of the first hexagon is 16.
Substituting in the numbers, the formula looks like:
This quickly begins a problem where the second area can be solved for by rearranging all the given information.
The radical can then by simplified with or without a calculator.
Without a calculator, the 320 can be factored out and simplified:
Example Question #52 : Act Math
The ratio between two similar hexagons is . The side length of the first hexagon is 12 and the second is 17. What must
be?
This kind of problem can be solved for by using the formula:
where the values are the similarity ratio and the
values are the side lengths.
In this case, the problem provides , but not
.
is denoted as
in the question.
There are four variables in this formula, and three of them are provided in the problem. This means that we can solve for (
) by substituting in all known values and rearranging the formula so it's in terms of
.
All ACT Math Resources
