The are of a regular polygon is 36 in.^2. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearest tenth.
a.) 3
b.) 4
c.) 6

Question

The are of a regular polygon is 36 in.^2. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearest tenth.
a.) 3   
b.) 4
c.) 6

tkhunny · Answer

Well?  What say you?

Area of a Triangle is = What?
Area of a Square is = What?
Area of a Hexagon is = What?

anonymous · Answer

area of a triangle is 1/2(b*h)
Area of a square is  b*h
Area of a hexagon ???

anonymous · Answer

whats the next step?

tkhunny · Answer

Set them equal to the given area and  solve.

Note, they are regular polygons, so:

Area of Triangle in terms of ONE thing only.  Base and Height is no good.
Area of Square in terms of ONE thing only.  Base and height is no good.
Find the area of the hexagon.  Just look it up.