Find the area of the regular polygon. round to the nearest tenth.

Step-by-step explanation:

we know that

The figure represent a regular hexagon

A regular hexagon can be divided into six congruent equilateral triangles

Let

b ---> the length side of the regular hexagon

see the attached figure to better understand the problem

Remember that

so

Find the area of the regular hexagon

The area of a regular hexagon is equal to the area of six congruent equilateral triangles

we have

substitute

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

step-by-step explanation: