**Answer:**

x=1 meter

**Step-by-step explanation:**

**step 1**

Find the area of the rectangular pool

we have

substitute

**step 2**

Find the area of rectangular pool including the area of the walkway

Let

x ----> the width of the walkway

we have

substitute

**step 3**

Find the area of the walkway

To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway

so

**step 4**

Find the value of x if the area of the walkway equal the area of the pool

so

Solve the quadratic equation by graphing

The solution is x=1 meter

see the attached figure

The best **unit** of **measurement** for Alex to use for the **ropes** he is going to use at **camp** would be **centimeters** because it is a measurement that **fits** the needs of his **knot** shop.

<h3>What is a unit of measure?</h3>

A **unit** of **measure** is a unit that is used as a **reference** and **international** standard on **length**, **weight**, **height**, among others.

In the case of **length**, there are several **units** of **measurement** such as:

- Kilometres
- Meters
- Miles
- Centimeters
- Millimeters

For a **knot**-**making** **workshop** in a camp, the ideal would be to have a rope of at least **2** or **3 meters**. However, the **ideal** **unit** of measurement for teaching about knots is **centimeters** because **knots** do not require a large amount of **rope** to tie.

Learn more about **knots** in: brainly.com/question/15458643

Convert the feet to inches first. 2 ft = 24 inches. We must divide this total length by the length of each tile to determine how many tiles will fit across the tabletop:

24 ÷ (1/4) = (24/1) ÷ (1/4) = (24/1) × (4/1) = 96/1 = 96

96 tiles will fit across the tabletop.

Since the tabletop is as long as it is wide, that means we will have 96 rows of 96 tiles:

96(96) = 9,216 tiles to cover the tabletop.

Tan x = opposite/adjacent

tan x =28/45

tan^-1 (28/45) = 31,53

I think your answer might be 19.5