David is laying tiles on his kitchen floor. His kitchen measures 16 feet by 20 feet Each tile is a square that measures 2 feet by 2 feet (a) What is the area of his kitchen floor? (b) How many tiles will David need to purchase to cover the floor? One Tile 2 ft 2 ft

Respuesta :

(a) To find the area of the kitchen floor, we just have to multiply

[tex]A=16ft\times20ft=320ft^2[/tex]

(b) To find the number of tiles needed, we have to find the area of each tile, which is

[tex]A_{\text{tile}}=2ft^{}\times2ft^{}=4ft^2[/tex]

Then, we divide the total area of the kitchen floor by the area of each tile.

[tex]n=\frac{320ft^2}{4ft^2}=80[/tex]

Hence, David will need 80 tiles to cover the floor.