Question

3. Jalen is a lifeguard at a public swimming pool and is planning to string

flags across both diagonals of the rectangular pool. He knows the

dimensions of the pool are 50 meters by 25 meters.

What value represents the length of flag string Jalen will need to reach

across the diagonals of the pool?

Answer 1

To find the length of the flag string that Jalen will need to reach across the diagonals of the rectangular pool, we use the Pythagorean theorem. The length of the flag string is approximately 55.9 meters.

Step-by-step explanation:

To find the length of the flag string that Jalen will need to reach across the diagonals of the rectangular pool, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the two sides of the right triangle are the length (50 meters) and the width (25 meters) of the pool. Let's denote the length of the flag string as 'x'. We can set up the following equation:

x^2 = 50^2 + 25^2

Simplifying, we get:

x^2 = 2500 + 625

x^2 = 3125

Taking the square root of both sides, we find:

x = √3125

x = 55.9 meters (rounded to one decimal place)

Therefore, Jalen will need approximately 55.9 meters of flag string to reach across the diagonals of the pool.

Answer 2

`Flag = 55.90m`

Step-by-step explanation:

Given

`Length = 50m`

`Width = 25m`

Required

Determine the length of the flag

Because the flag crosses through opposite diagonals of the pool. Its length is the length of the diagonal of the pool.

This is calculated using Pythagoras theorem.

`Flag^2 = Length^2 + Width^2`

Substitute values for Length and Width

`Flag^2 = 50^2 + 25^2`

`Flag^2 = 2500 + 625`

`Flag^2 = 3125`

Take positive square root of both sides

`Flag = \sqrt{3125`

`Flag = 55.90m`

Hence, the length of the flag is approximately 55.90m