Ayanna is building a fence around a square play area for her puppy. She wants the play area to measure $$ 256 \mathrm{ft}^{2} $$. Part A Which equation can Ayaana use to find the length of each side of the play area, $$ s $$ ? $$ 256=s^{2} $$ $$ s^{3}=256 $$ $$ 256=4 s $$ $$ 2 s=256 $$ Part B How many feet long should Ayanna build each side of the play area for her puppy? Enter the correct answer in the box. $$ \square $$ feet

Question

UpStudy AI · Accepted Answer

**Part A**

Ayanna needs to find the length of each side of a square play area with an area of $$ 256 \, \mathrm{ft}^2 $$. The formula for the area of a square is:

$$
\text{Area} = s^2
$$

Where $$ s $$ is the length of one side. Therefore, the correct equation to use is:

$$
256 = s^2
$$

**Correct Equation:** $$ 256 = s^{2} $$

---

**Part B**

To find the length of each side $$ s $$, solve the equation from Part A:

$$
256 = s^2
$$

Take the square root of both sides:

$$
s = \sqrt{256}
$$

$$
s = 16
$$

**Each side should be built 16 feet long.**

$$
\boxed{16} \text{ feet}
$$
**Part A** The correct equation Ayanna should use is: $$ 256 = s^{2} $$ **Part B** Each side of the play area should be 16 feet long. $$ \boxed{16} \text{ feet} $$

Real Tutor Solution

Answer

Solution

Mind Expander

Related Questions

Latest Geometry Questions