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anonymous

  • one year ago

Please help Polygon ABCD has the following vertices: A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4) Calculate the area of the polygon. 48 units 53 units 68 units 88 units

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  1. anonymous
    • one year ago
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    |dw:1433643772301:dw| Well... Here is a graphical image of what we are dealing with

  2. anonymous
    • one year ago
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    ok

  3. anonymous
    • one year ago
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    So we have to calculate the area of this shape. This shape is a trapezium So you know the area formula for the trapezium?

  4. anonymous
    • one year ago
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    nope

  5. anonymous
    • one year ago
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    it is: A = 1/2 (h) ( a + b )

  6. anonymous
    • one year ago
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    Okay so, we have to break this formula down bit by bit, to get the correct values to substitute into the equation :)

  7. anonymous
    • one year ago
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    ok

  8. anonymous
    • one year ago
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    firstly, let's solve for 'h'

  9. anonymous
    • one year ago
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    Okay, now the 'h' is determined by the points A and D How high, in terms of units, do you think it is?

  10. anonymous
    • one year ago
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    18

  11. anonymous
    • one year ago
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    or do I multiply

  12. anonymous
    • one year ago
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    I'll draw another diagram to see what we are working with okay :)

  13. anonymous
    • one year ago
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    ok

  14. anonymous
    • one year ago
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    |dw:1433644144157:dw|

  15. anonymous
    • one year ago
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    So how many units apart are the y values? in order to find the value for h ~

  16. anonymous
    • one year ago
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    IN this case you add, to calculate the distance

  17. anonymous
    • one year ago
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    27?

  18. anonymous
    • one year ago
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    It is actually 8, can you tell me why?

  19. anonymous
    • one year ago
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    I have no idea

  20. anonymous
    • one year ago
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    okay see how the points A (-5,4) and D (-5,-4) ?

  21. anonymous
    • one year ago
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    yup

  22. anonymous
    • one year ago
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    These points represent dots on a diagram With this information we can tell their distances apart in this case we are looking for 'h', so we are looking at the y values in A and D

  23. anonymous
    • one year ago
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    how do we tell them apart?

  24. anonymous
    • one year ago
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    The 'y' values in points A and D are see in the second number of the point For example A (-5,4) 4 = 4 units upwards Whereas: D = (-5,-4) -4 = -4 units downwards

  25. anonymous
    • one year ago
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    ohh ok

  26. anonymous
    • one year ago
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    So the calculation for h is 4 + 4 = 8

  27. anonymous
    • one year ago
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    That's just for 'h' XD now we have to find 'a' and 'b' ^^

  28. anonymous
    • one year ago
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    so between A and D is 8 right?

  29. anonymous
    • one year ago
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    yes that's right

  30. anonymous
    • one year ago
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    can I solve A and B for practice?

  31. anonymous
    • one year ago
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    We can work out the rest of 'a' and 'b' and if there is anything in the end, that you don't understand, I'll gladly go through it again :)

  32. anonymous
    • one year ago
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    yeah sure, i'll check if your correct or not for A and B ^^

  33. anonymous
    • one year ago
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    is it 8 again?

  34. anonymous
    • one year ago
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    wait nvm

  35. anonymous
    • one year ago
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    For the value of 'a' which is from point A to B It is actually 6 units

  36. anonymous
    • one year ago
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    |dw:1433644991291:dw|

  37. anonymous
    • one year ago
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    So we are calculating for the 'a' in the formula. We have to look at the x values in the points For example: A(-5,4) -5 = 5 units to the left hand side B(1,4) 1 = 1 units to the right hand side

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