Final answer:
The sum of the squares of the shorter lengths is 452.
Step-by-step explanation:
To compute the sum of the squares, we can square each length separately and then add the results together. In this case, we have 14² and 16².
Calculating these values, we get:
14² = 14 * 14 = 196
16² = 16 * 16 = 256
Now, we can add the two results together:
196 + 256 = 452
Therefore, the sum of the squares of the shorter lengths is 452.