Posted by **pretty** on Sunday, January 16, 2011 at 9:58pm.

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

- Math -
**Anonymous**, Sunday, January 16, 2011 at 10:39pm
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

- Math -
**Helena**, Sunday, November 30, 2014 at 4:42pm
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*

- Math -
**ANONYMOUS**, Sunday, November 30, 2014 at 4:46pm
i dont know

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