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Zoe’s living room rug is 3 feet wide and 7 feet long. She will cover the rug with 6-inch square cardboard pieces for a painting project. How many cardboard pieces will Zoe need?

Answer format: Zoe will need ____ pieces of cardboard.

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Answer:

Zoe will need 504 pieces of cardboard.

Step-by-step explanation:

Length of room = 7 feet =[tex]7\times12=84[/tex] inches

Width of room =3 feet = [tex]3\times12=36[/tex] inches

Area of room in square inches

⇒ Length in inches [tex]\times[/tex] width in inches

⇒ [tex]84\times 36[/tex]

⇒ [tex]3024[/tex] square inches

Area of each cardboard piece used to cover the rug =6 square inches

So, number of cardboard pieces Joe will need to cover the rug would be

⇒ [tex]\frac{Area\ of\ room\ rug}{Area\ of\ each\ cardboard\ piece}[/tex]

⇒ [tex]\frac{3024}{6}[/tex]

⇒ [tex]504[/tex]

So, Zoe will need 504 pieces of cardboard.

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