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|dw:1433643772301:dw| Well... Here is a graphical image of what we are dealing with
So we have to calculate the area of this shape. This shape is a trapezium So you know the area formula for the trapezium?
it is: A = 1/2 (h) ( a + b )
Okay so, we have to break this formula down bit by bit, to get the correct values to substitute into the equation :)
firstly, let's solve for 'h'
Okay, now the 'h' is determined by the points A and D How high, in terms of units, do you think it is?
or do I multiply
I'll draw another diagram to see what we are working with okay :)
So how many units apart are the y values? in order to find the value for h ~
IN this case you add, to calculate the distance
It is actually 8, can you tell me why?
I have no idea
okay see how the points A (-5,4) and D (-5,-4) ?
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
how do we tell them apart?
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
So the calculation for h is 4 + 4 = 8
That's just for 'h' XD now we have to find 'a' and 'b' ^^
so between A and D is 8 right?
yes that's right
can I solve A and B for practice?
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 :)
yeah sure, i'll check if your correct or not for A and B ^^
is it 8 again?
For the value of 'a' which is from point A to B It is actually 6 units
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