Given $(9\text{ inches})^{1/2}=(0.25\text{ yards})^{1/2}$, which one of the following statements is TRUE?

3 inches = 0.5 yards
9 inches = 1.5 yards
9 inches = 0.25 yards
81 inches = 0.0625 yards

Correct answer: 3 inches = 0.5 yards

Solution

Squaring both sides gives $9$ inches $=0.25$ yards. Since $0.25$ yard equals $9$ inches, multiplying by 4 gives $36$ inches $=1$ yard, so $3$ inches equals $0.5$ yard. Hence the true statement is the first option.

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