What is the area of this square?

Question

anonymous · Answer

we know that a square has 4 equal sides. so what do you think the length of one side is? if the perimeter is 16?

anonymous · Answer

Ok so if the perimeter is 16 m and there are 4 sides, how meters per side?

shaleiah · Answer

Each side length is 4m

anonymous · Answer

ok and how do you find the area of a square?

shaleiah · Answer

1/16*16^2=16?

shaleiah · Answer

@Ian9212

shaleiah · Answer

@Brill

anonymous · Answer

Yup it's 16, dont forget your units and the squared

shaleiah · Answer

How do I find the area of this? I wasn't given  a perimeter

anonymous · Answer

Well this is a regular shape right?
All regular shapes have sides of equal lenght

anonymous · Answer

So if 1 side is 6, all sides are 6

shaleiah · Answer

@DanJS

danjs · Answer

hi

shaleiah · Answer

Hello, Dan.

danjs · Answer

|dw:1453423802701:dw|

danjs · Answer

Here is an easier formula to remember... Area = 1/2 * apothem * perimeter http://www.mathwords.com/a/area_regular_polygon.htm

danjs · Answer

Each side is 360/11 angle span,   half of that is 360/22 for the smaller triangle there.

Tan(360/22) = 3/a ,   so   a=10.22

apothem a=10.22
perimeter p=66

danjs · Answer

so Area is around 337.24 or so , using that formula

danjs · Answer

or if you just total 11 of those triangles, one for each side... you get
11 * 1/2 * 6 * 10.22  =  337.2

shaleiah · Answer

Got it :)

danjs · Answer

which is really the same formula... 1/2 * a * p  =  1/2 * (10.22) * (6*11)