A rectangle is just a particular form of p-gram...defined, if memory serves, as "A p-gram with one right angle".
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By dividing it into two rectangles.
The idea is to work with the same variables, but it is possible that some of the variables are missing in some of the equations.
It is used in such professions such as science when working out equations and also with accountants when working out an amount of money to someone. Another profession that uses algebra is an Architect. They use equations to work out the size of buildings and other structures, also engineers Use algebra for precise calculations.
You should break it down in to smaller shapes. Two rectangles. Then figure out all the lengths. Multiply to find the area of the two rectangles. then add the products to get the final area.
since there'll always be a time when one or two don't work. also, it's easier to check work by using another strategy