Your school is painting the shop room. it measures 30 feet by 100 feet and has a ceiling that is 12 feet tall. paint costs $14.75 and a gallon covers 400 feet. what is the wall area of the room? 1,560 square feet 3,120 square feet 2,920 square feet 2,860 square feet

Respuesta :

3,120 square feettttttttt

Answer:

The wall area of the room is [tex]3120ft^{2}[/tex]

Step-by-step explanation:

I add a graph of the situation in order to explain the question.

In the graph we can see the drawing of the shop room.

I put the measures in the graph.

In order to calculate the wall area of the room, we are going to calculate the area of wall 1, wall 2, wall 3 and wall 4 and then sum between them.

Areas :

[tex]Wall_{1}=(30ft).(12ft)=360ft^{2}[/tex]

[tex]Wall_{2}=(100ft).(12ft)=1200ft^{2}[/tex]

[tex]Wall_{3}=(30ft).(12ft)=360ft^{2}[/tex]

[tex]Wall_{4}=(100ft).(12ft)=1200ft^{2}[/tex]

If we sum all the areas :

[tex]Wall_{1}+Wall_{2}+Wall_{3}+Wall_{4}=360ft^{2}+1200ft^{2}+360ft^{2}+1200ft^{2}=3120ft^{2}[/tex]

We find that the wall area of the room is [tex]3120ft^{2}[/tex]

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