SOLUTION: Find the perimeter of the trapezoid with the dimensions below: there is a picture but i cant draw it so here is an explaination. slant height for both sides: 2 top width acros

Algebra ->  Pythagorean-theorem -> SOLUTION: Find the perimeter of the trapezoid with the dimensions below: there is a picture but i cant draw it so here is an explaination. slant height for both sides: 2 top width acros      Log On


   



Question 291815: Find the perimeter of the trapezoid with the dimensions below:
there is a picture but i cant draw it so here is an explaination.
slant height for both sides: 2
top width across: 3.5
bottom corner degrees on both sides: 60
*I DONT KNOW THE HEIGHT OR THE BOTTOM BASE.

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Find the perimeter of the trapezoid with the dimensions below:
there is a picture but i cant draw it so here is an explaination.
slant height for both sides: 2
top width across: 3.5
bottom corner degrees on both sides: 60
*I DONT KNOW THE HEIGHT OR THE BOTTOM BASE.


Here's the picture:



Now let's draw in two perpendiculars from the two upper
corners to the bottom base:



Now let's cut out the middle like this:



Now let's slide those two right triangles together, like this:



Now we see that because of those two 60° angles,
that triangle is an equilateral triangle.  So its
bottom side is equal to its other two sides, making
the bottom side 2 also. so the two halves of the
bottom side of that triangle are 1 each, like this



Now slide them back apart:



Put the trapezoid back together like this:



Now we see that because the top base is 3.5, the
distance between the green lines at the bottom is
also 3.5:



Now to find the perimeter, all we have to do is add up all
the pieces around the border of the trapezoid.

Bottom side = 1 + 3.5 + 1 = 5.5
Right slant side = 2
Top side = 3.5
Left slant side = 2

So the perimeter is 5.5 + 2 + 3.5 + 2 = 13

Edwin