Chapter 6.6, Problem 9CYU

To determine

The length of side of a square garden using the formula $l=A^{\frac{1}{2}}$ whose area $\left(A\right)$ is 169 square feet.

Answer to Problem 9CYU

The length of side of the square garden is 13 feet.

Explanation of Solution

Given information: The area $\left(A\right)$ of the square is 169 square feet and the length of this square garden is given by the formula,

  $l=A^{\frac{1}{2}}\mathrm{......}\left(1\right)$

Calculation: From (1) the length of side of square garden can be evaluated by plugging area $\left(A=169\right)$ square feet in (1). Therefore from (1),

  $\begin{array}{c}l={\left(169\right)}^{\frac{1}{2}}\mathrm{......}\left(\text{Plugging }A=169\right)\\ ={\left(13\times 13\right)}^{\frac{1}{2}}\\ ={\left({13}^2\right)}^{\frac{1}{2}}\\ =13\text{ feet}\end{array}$

Hence, the length of side of square is 13 feet.