anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1433643772301:dw| Well... Here is a graphical image of what we are dealing with
anonymous
  • anonymous
ok
anonymous
  • anonymous
So we have to calculate the area of this shape. This shape is a trapezium So you know the area formula for the trapezium?

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anonymous
  • anonymous
nope
anonymous
  • anonymous
it is: A = 1/2 (h) ( a + b )
anonymous
  • anonymous
Okay so, we have to break this formula down bit by bit, to get the correct values to substitute into the equation :)
anonymous
  • anonymous
ok
anonymous
  • anonymous
firstly, let's solve for 'h'
anonymous
  • anonymous
Okay, now the 'h' is determined by the points A and D How high, in terms of units, do you think it is?
anonymous
  • anonymous
18
anonymous
  • anonymous
or do I multiply
anonymous
  • anonymous
I'll draw another diagram to see what we are working with okay :)
anonymous
  • anonymous
ok
anonymous
  • anonymous
|dw:1433644144157:dw|
anonymous
  • anonymous
So how many units apart are the y values? in order to find the value for h ~
anonymous
  • anonymous
IN this case you add, to calculate the distance
anonymous
  • anonymous
27?
anonymous
  • anonymous
It is actually 8, can you tell me why?
anonymous
  • anonymous
I have no idea
anonymous
  • anonymous
okay see how the points A (-5,4) and D (-5,-4) ?
anonymous
  • anonymous
yup
anonymous
  • anonymous
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
anonymous
  • anonymous
how do we tell them apart?
anonymous
  • anonymous
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
anonymous
  • anonymous
ohh ok
anonymous
  • anonymous
So the calculation for h is 4 + 4 = 8
anonymous
  • anonymous
That's just for 'h' XD now we have to find 'a' and 'b' ^^
anonymous
  • anonymous
so between A and D is 8 right?
anonymous
  • anonymous
yes that's right
anonymous
  • anonymous
can I solve A and B for practice?
anonymous
  • anonymous
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 :)
anonymous
  • anonymous
yeah sure, i'll check if your correct or not for A and B ^^
anonymous
  • anonymous
is it 8 again?
anonymous
  • anonymous
wait nvm
anonymous
  • anonymous
For the value of 'a' which is from point A to B It is actually 6 units
anonymous
  • anonymous
|dw:1433644991291:dw|
anonymous
  • anonymous
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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