What is the area of the regular polygon? It is a three sided polygon with the apothem of 7m?

That's an equilateral triangle (a three sided regular polygon) with a height of 7 m.

The equilateral triangle bisected along its altitude is the biggest cliche in geometry, the 30/60/90 right triangle, sides in ratio 1:√3:2.  

In this story the apthem is the height, let's call it h, and we'll call the other leg w.  w:h=1:√3 so w = h/√3

The area of the 30/60/90 triangle is wh/2 and the equilateral triangle is two of these so its area Δ is

Δ = wh = h²/√3

We have h = 7m

Δ  = 49/√3  ≈ 28.290163190291665

We could move the radical to the numerator for a high school ready exact answer but I'll just say

49/√3 square meters

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!