Question

you are designing a rectangular patio that measures 10 meters by 6 meters. you want to cover it with square tiles that are 0.8 meters by 0.8 meters. what is the maximum number of whole tiles you can use to cover the patio without overlaps? use the keypad to enter your answer in the box. the 10 - meter side of the patio can fit whole tiles. the 6 - meter side of the patio can fit whole tiles. a total of whole tiles are needed to cover the patio without overlaps.

Explanation:

Step1: Calculate the number of tiles along the 10 - meter side

Divide the length of the side by the side - length of the tile. Use the floor function (since we want whole tiles).

$$n_1=\lfloor\frac{10}{0.8} floor=\lfloor12.5 floor = 12$$

Step2: Calculate the number of tiles along the 6 - meter side

Divide the length of the side by the side - length of the tile. Use the floor function.

$$n_2=\lfloor\frac{6}{0.8} floor=\lfloor7.5 floor = 7$$

Step3: Calculate the total number of tiles

Multiply the number of tiles along each side.

$$N=n_1\times n_2=12\times7 = 84$$

Answer:

The 10 - meter side of the patio can fit \(12\) whole tiles.
The 6 - meter side of the patio can fit \(7\) whole tiles.
A total of \(84\) whole tiles are needed to cover the patio without overlaps.