Suppose three squares of uniform thickness are made of gold plate and you are offered either the

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Suppose three squares of uniform thickness are made of gold plate and you are offered either the large square or the two smaller ones. Which choices would you make for each of the squares having sides whose lengths are given below?

a. 1 in. and 1 in. or 2 in.

b. 3 in. and 4 in. or 5 in.

c. 4 in. and 5 in. or 7 in.

d. 5 in. and 7 in. or 9 in.

e. 10 in. and 11 in. or 15 in.

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