2

Viviana is ordering carpet

for 16 square rooms in a

hotel. Each room will need

100 square feet of

carpet. What is the

length of 1 room?

Respuesta :

Answer:

Length of a room is 10ft

Step-by-step explanation:

Given

[tex]Rooms = 16[/tex]

[tex]Carpet\ Area = 100ft^2[/tex]

Required

Determine the length of each room

Here, we'll assume that the carpet will cover each room completely.

If so:

[tex]Carpet\ Area = Length * Length[/tex]

[tex]100ft^2 = Length * Length[/tex]

[tex]100ft^2 = Length^2[/tex]

Take square root of both sides

[tex]\sqrt{100ft^2} = \sqrt{Length^2}[/tex]

[tex]\sqrt{100ft^2} = Length[/tex]

Take positive square root

[tex]10ft = Length[/tex]

[tex]Length = 10ft[/tex]

Hence, the length of a room is 10ft

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