Math
posted by pretty on .
If two trapezoids have the same area, do they always have the same perimeter? Explain your thinking with words and diagrams.

Go to en wikipedia
and type: Trapezoid
You can construct many trapezoides with some area but different perimeter.
Area of trapezoid=((a+b)/2)*h
Example:
a+b=10 h=6 A=30
a+b=2 h=30 A=30
a+b=12 h=5 A=30 
No. You can construct many trapazoids with the same area with multiple side lengths, thus as perimeter is the addition of the outer side lengths of a figure, if two trapazoids have different side lengths but the same area, most of the time, the different side lengths will equal to different perimeters. Eg.
Trapazoid 1:
a=4 b=8 h=6
A=(a+b)xh/2)
=(4+8)x6/2)
=12x6/2
=72/2
=36units squared
side lengths=4 each
P=(a+b+side length)x2
=(4+8+4)x2
=16x2
=32units squared*
Trapazoid 2:
a=4 b=5 h=8
A=(a+b)xh/2
=(4+5)x8/2
=9x8/2
=72/2
=36units squared
side lengths=6&7
P=a+b+6+7
=4+5+6+7
=22units squred* 
yes this is correct the answer is deez nutz

If two trapezoids have the same area do they always have the same perimeter

Umm I'm tryna figure that out but this web isn't really helpin moi