Math

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

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  1. 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

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  2. 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*

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  3. yes this is correct the answer is

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

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

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  6. the correct anwser is fuddi

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  7. 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 .
    I cringe.

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  8. 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

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  9. 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!!!

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  10. Yes, for you can have different lengths for each base and different heights, but get the same same area with a different perimeter.

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