Circle K is analyzing inventory data at its corporate office. In looking at 20 oz. bottles of Coca Cola, Sprite, and Dr. Pepper, it finds that a total of 372 bottles are sold each month. The store seems to sell twice as many Dr. Pepper bottles as Coca Cola bottles and half as many Sprite bottles as Coca Cola bottles. Corporate is planning its deliveries for this store and needs to know how many bottles of each soft drink should be shipped there. If the model produces decimal values, then it is most important to ensure that 372 bottles are sent to the store. Required:
Model this scenario using a matrix.

To find the length of each side of the trapezoid, you need to use the distance formula.
AB = (-3,2) and (1,5)
BC = (1,5) and (7,-3)
CD = (7, -3) and (0, -2)
AD or DA = (0,-2) and (-3,2)
Now, just use the distance formula for each line. Doing so gives us:
AB = 5
BC = 10
CD = 7.071107...
DA or AD = 5
The height is AB, the first base is BC and the second base is CD. We can plug the values for these sides into the trapezoid area formula, which is A = base 1 + base 2 all over 2 times the height. Doing so gives us 37.5 units². Therefore, the answer to your query is 37.5 units². Hope this helps and have a nice day!