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anonymous

  • one year ago

I cannot figure out how to calculate the area of this irregular figure and I could use some help. Thanks!

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  1. anonymous
    • one year ago
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  2. nikato
    • one year ago
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    i think i would divide it into two trapezoids. one on top and other on bottom

  3. anonymous
    • one year ago
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    Any idea how I can figure out the lengths of each side? I'm fairly stumped on that

  4. mathstudent55
    • one year ago
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    I agree. Use a horizontal line to divide the figure into two trapezoids. You need to make a few assumptions, if you were not told this info specifically. The bottom right angle must be a right angle. The two side endpoints in the middle of the right and left sides must be at the same height.

  5. nikato
    • one year ago
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    |dw:1433972764485:dw|

  6. anonymous
    • one year ago
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    How do we know that the two points coming off the right angle are the same height?

  7. nikato
    • one year ago
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    |dw:1433972877965:dw| you're two trapezoids

  8. nikato
    • one year ago
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    |dw:1433972904320:dw|

  9. nikato
    • one year ago
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    |dw:1433972929542:dw|

  10. anonymous
    • one year ago
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    260-15- is 110, so the height of the top trpaezoid is 110. and that means the bottom ones hjeight must be 150.

  11. nikato
    • one year ago
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    yup

  12. ganeshie8
    • one year ago
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    |dw:1433972798403:dw|

  13. anonymous
    • one year ago
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    Then we get 110*195?

  14. anonymous
    • one year ago
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    for the top trapezoid

  15. mathstudent55
    • one year ago
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    @ganeshie8 I don't understand your question. The figure clearly shows that the maximum width of the polygon is 265 ft. How can you move the vertex on the left and make it narrower than 265 ft?

  16. nikato
    • one year ago
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    ^I agree. and to find area of trapezoid (sum of bases/2) x height so the top would be [(125+265)/2]x 110

  17. anonymous
    • one year ago
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    THis is what I am putting down for the top, am I correct? We know the top is 110 high (260-150), and then we do A=110*((265+125)/2 which adds up to 21450 square feet in the top trapezoid.

  18. anonymous
    • one year ago
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    Ignore the missing parenthesis

  19. nikato
    • one year ago
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    yes. i got that for the top one too

  20. ganeshie8
    • one year ago
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    Ahh so it doesn't matter where the left most vertex moves on the vertical line |dw:1433973606686:dw|

  21. anonymous
    • one year ago
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    Awesome. SO now all we have left is the bottom?

  22. ganeshie8
    • one year ago
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    (for area)

  23. anonymous
    • one year ago
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    ANd we know the hegiht is 15, the base is 15, and the lid is 265

  24. anonymous
    • one year ago
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    Right?

  25. anonymous
    • one year ago
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    *150 instead of 15

  26. mathstudent55
    • one year ago
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    Read my comment way above. We need to make two assumptions for this problem to be solvable with the info we are given.

  27. anonymous
    • one year ago
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    Ya, I have to assume 150 for the sides

  28. mathstudent55
    • one year ago
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    |dw:1433973761953:dw|

  29. nikato
    • one year ago
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    yes. that is true. now plug those numbers into the formula to find area. also if we dont assume these things, i dont think we have enough info

  30. ganeshie8
    • one year ago
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    `The two side endpoints in the middle of the right and left sides must be at the same height.` this assumption is also not required right ?

  31. mathstudent55
    • one year ago
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    If you do not make that assumption, you may not have two trapezoids.

  32. ganeshie8
    • one year ago
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    doesn't matter, area wont change

  33. mathstudent55
    • one year ago
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    We also need to assume that the top side and the bottom side are parallel to each other and parallel to the mid segment.

  34. mathstudent55
    • one year ago
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    The area won;t change, but how will you calculate it if we do not deal with trapezoids?

  35. ganeshie8
    • one year ago
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    that is a different problem haha

  36. anonymous
    • one year ago
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    @ganeshie8, are you saying I have the wrong question?

  37. mathstudent55
    • one year ago
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    @ganeshie8 Right. BTW, how do you copy a figure into the draw tool, and how do you edit it in color like you did above?

  38. ganeshie8
    • one year ago
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    nope, im still trying to convince myself that the actuall question is valid as it stands

  39. nikato
    • one year ago
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    the bottom looks right. now just add the two areas together and you have solved your problem based on a lot of assumptions then

  40. anonymous
    • one year ago
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    Whether or not the question is valid, I gotta write in something. I have 2 days to go before the simester ends and everything closes up, and since I got hit by a car on the 12th last month, I am behind around a week at this point.

  41. anonymous
    • one year ago
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    To solve this, we cut the top into a trapezoid and the bottom into a trapezoid. We know the top is 110 high (260-150), and then we do A=110*((265+125)/2) which adds up to 21450 square feet in the top trapezoid. Bottom trapezoid has a base of 150, a height of 150, and a lid with a length of 265. 31125=150*((265+150)/2) Is this correct? Assuming we made all the agreed on assumptions that have to be done.

  42. anonymous
    • one year ago
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    I think I have an answer, can I beg one of you to check it?

  43. nikato
    • one year ago
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    yea. that looks right. but i dont know why you call it a lid, instead of just the other base. and dont forget your last step, to add both the areas

  44. anonymous
    • one year ago
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    Alright, thanks man.

  45. anonymous
    • one year ago
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    I really do appreciate all your guys help. I was lost on this one.

  46. anonymous
    • one year ago
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    I have another account if one of you guys wants another medal

  47. ganeshie8
    • one year ago
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    Never do that. Medal the person that helps you most.

  48. anonymous
    • one year ago
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    Youall helped me a ton. I gave the medal to Nikato, but thank you all.

  49. mathstudent55
    • one year ago
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    You're welcome.

  50. anonymous
    • one year ago
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    Should I close it, or did you guys want to continue talking?

  51. ganeshie8
    • one year ago
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    It is okay to close as soon as you're done because you can't open a new question w/o closing the present q

  52. anonymous
    • one year ago
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    Alright.

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