Asked by pretty

If two trapezoids have the same area, do they always have the same perimeter? Explain your thinking with words and diagrams.
Answered by Anonymous
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
Answered by Helena
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*
Answered by deez
yes this is correct the answer is deez nutz
Answered by Tatiana
If two trapezoids have the same area do they always have the same perimeter
Answered by Kitty
Umm I'm tryna figure that out but this web isn't really helpin moi
Answered by Anonymous
the correct anwser is fuddi
Answered by Anonymous
This isn't a solution to the question, just wanted to point out that the question was copied and pasted from the Grade 7 Nelson Math Textbook. Also, please STOP putting memes into the response. It's not that funny, and makes you look rude asf.
I cringe.
Answered by Anonymous
Not necessarily

If a trapezoid has two bases, 3 and 3 and a height of 2 3+3 is 6 and times two divided by two cancel each other out so it’s 6

If another trapezoid had two bases, 1 and 2 and a height of 4 1+2 is 3 times 4 is 12 divided by 2 which is also 6
Answered by Sakshi
I agree with this! A trapezoid can have the same area with another one, but have different lengths and widths. It can have a different perimeter!!!
Answered by Insomnic_Rest
Yes, for you can have different lengths for each base and different heights, but get the same same area with a different perimeter.
Answered by Anonymous
The answer is no it doesn't
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