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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 :

MrRoyal

Answer:

[tex]Flag = 55.90m[/tex]

Step-by-step explanation:

Given

[tex]Length = 50m[/tex]

[tex]Width = 25m[/tex]

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.

[tex]Flag^2 = Length^2 + Width^2[/tex]

Substitute values for Length and Width

[tex]Flag^2 = 50^2 + 25^2[/tex]

[tex]Flag^2 = 2500 + 625[/tex]

[tex]Flag^2 = 3125[/tex]

Take positive square root of both sides

[tex]Flag = \sqrt{3125[/tex]

[tex]Flag = 55.90m[/tex]

Hence, the length of the flag is approximately 55.90m

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