Find the area of the regular polygon. round to the nearest tenth. i’m a little lost here a lil lol

Step-by-step explanation:

we know that

If the triangle of the figure is a regular polygon

then

Is an equilateral triangle

Remember that

The equilateral triangle has three equal sides and three equal interior angles

The measure of each interior angle is 60 degrees

To find the area of the equilateral triangle apply the law of sines

we have that

substitute

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

9987

step-by-step explanation: