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  
\[x\]
  and the longer side  
\[y\]
  then we can add the labels as showm.

We get the simultaneous equations
\[x+y=7\]
  (1_
\[x+2y=11\]
  (2)
(2)-(1) gives us  
\[y=4\]
  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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