Area of Blocks Problem

Suppose we have the arrangement of identical blocks below. What is the area of the arrangement?

If we label the shorter side  
  and the longer side  
  then we can add the labels as showm.

We get the simultaneous equations
(2)-(1) gives us  
  then using (1)  
\[x+4=7 \rightarrow x=3\]
The area of the arrangement is then  
\[4 \times 3 \times 4=48\]

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