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Nathan has 324 tiles that each measure 1 square foot. He is placing the tiles to make a square-shaped patio. How long is one side of Nathan's patio?

Respuesta :

The length of one side of the patio is 18 ft.

Let L represent the length of the patio. So, the area of the patio, A = L².

Area of patio

Since Nathan has 324 tiles that each measure 1 square foot, and he places the tiles to make a square shaped patio, the total area of the patio = area of one tile × number of tiles = 1 ft² × 324 tiles = 324 ft².

Length of side of patio

Since A = 324 ft²,

L² = 324 ft²

So, taking square-root of both sides, we have

L = √324 ft²

L = 18 ft

So, the length of one side of the patio is 18 ft.

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