If the area A of the a square is known, then the lengths of its sides l can be computed using l, You have purchased a 169 feet square share in a community garden for the season. What is the length of one side of your square garden?

Before Solution: Question asked in RRB.

The area of the square garden is A and length of one side is l,

 \(l = {A^{\frac{1}{2}}}\)

The area of the garden is \(169\;{\rm{fee}}{{\rm{t}}^2}\).

To determine the length of square garden is,

\(\begin{array}{c}l = {\left( {169} \right)^{\frac{1}{2}}}\\ = {\left( {{{13}^2}} \right)^{\frac{1}{2}}}\\ = {13^{2 \times \frac{1}{2}}}\\ = 13\end{array}\)

Hence, the length of square garden is 13 feet.