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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
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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433643772301:dw Well... Here is a graphical image of what we are dealing with

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So we have to calculate the area of this shape. This shape is a trapezium So you know the area formula for the trapezium?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it is: A = 1/2 (h) ( a + b )

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay so, we have to break this formula down bit by bit, to get the correct values to substitute into the equation :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0firstly, let's solve for 'h'

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay, now the 'h' is determined by the points A and D How high, in terms of units, do you think it is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'll draw another diagram to see what we are working with okay :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433644144157:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So how many units apart are the y values? in order to find the value for h ~

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0IN this case you add, to calculate the distance

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It is actually 8, can you tell me why?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay see how the points A (5,4) and D (5,4) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0These 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
 one year ago
Best ResponseYou've already chosen the best response.0how do we tell them apart?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The '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
 one year ago
Best ResponseYou've already chosen the best response.0So the calculation for h is 4 + 4 = 8

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's just for 'h' XD now we have to find 'a' and 'b' ^^

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so between A and D is 8 right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can I solve A and B for practice?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0We 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
 one year ago
Best ResponseYou've already chosen the best response.0yeah sure, i'll check if your correct or not for A and B ^^

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For the value of 'a' which is from point A to B It is actually 6 units

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433644991291:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So 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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