Question

Suppose you are tiling a floor that is 12 feet by 10 feet and you need 65 tiles. How many tiles will you need for a floor that is 20 feet by 15 feet?

Answer 1

Explanation:

First, calculate the area of the first floor:

Area of the first floor = Length x Width = 12 feet x 10 feet = 120 square feet.

Now, calculate the number of tiles needed for the first floor, which you've stated is 65 tiles.

Next, calculate the area of the second floor:

Area of the second floor = Length x Width = 20 feet x 15 feet = 300 square feet.

Now, use the ratio of areas to find out how many tiles are needed for the second floor:

(Number of tiles needed for the second floor) = (Area of the second floor / Area of the first floor) x (Number of tiles needed for the first floor)

(Number of tiles needed for the second floor) = (300 square feet / 120 square feet) x 65 tiles

(Number of tiles needed for the second floor) = (2.5) x 65 tiles

Number of tiles needed for the second floor = 162.5 tiles.

Since you can't have half a tile, you'll need to round up to the nearest whole tile. Therefore, you will need 163 tiles for a floor that is 20 feet by 15 feet.

Answer 2

163 tiles

Explanation:

Set up a proportion

let t be the number of tiles

(12x10)/65 = (20x15)/t

120/65 = 300/t

cross multiply

120t = 19500

t=162.5 round to 163