00:01
We're given parallelogram abcd that has a length measurement of x plus 5 and a height measurement of x.
00:06
And we're told that the total area of this parallelogram is 2 ,250 square meters.
00:12
We're asked to find the length and find the height of the parallelogram.
00:17
So we know that the area formula for a parallelogram is the length times the height or the base times the height, if we want to think about that as a base.
00:26
So we know our area is 2 ,250 square meters.
00:30
Our base is x plus 5.
00:32
And our height is x, whatever x is.
00:35
And so now we have something that we can kind of work our way around and find the value of x, which will allow us to then find the base in the height.
00:42
So if we distribute x, we have x squared and then 5x is equal to 2 ,250.
00:50
If i subtract 2 ,250 from both sides, i get a quadratic function.
00:58
I can now think about this quadratic function and try to see if i can factor it.
01:03
So i have negative 2 ,250 as my c value.
01:06
And i want to see, are there any factors of that that will allow me to get positive 5, which is my b value? and so just some basic random guessing allowed me to figure out that 50 times 45 is 2 ,250.
01:20
So i'm going to need a positive 45, i'm sorry, a negative 45 and a negative 45 and a positive 50 to get positive 5 when i add those together.
01:33
So the two numbers that i need in order to complete my factoring here are going to be positive 50 and negative 45...