Question

feet by You are preparing to tile the backsplash in a kitchen. The area you are tiling measures 8 1/2 feet. The tiles you plan to use are sold in boxes that have enough tiles to cover 10 square feet. What is the minimum number of boxes of tiles you should order to complete the job?A.1B. 2C. 12D. 13E. 20

Answer 1

hello

the area of the room is given by

`8(1)/(2)by1(1)/(2)`

let's convert the mixed fraction to improper fraction

`\begin{gathered} 8(1)/(2)=(17)/(2) \\ 1(1)/(2)=(3)/(2) \end{gathered}`

now, let's multiply the two dimensions given to find the area in squared feet.

`(17)/(2)*(3)/(2)=(51)/(4)`

the area of the room is 51/4 ft^2

we can now find how many boxes of tiles will cover the room

1 box covers 10ft^2

let the number of boxes of tiles to cover 51/4ft^2 be represented by x

1 box = 10

x box = 51/4

`\begin{gathered} 1=10 \\ x=(51)/(4) \\ \text{cross multiply both sides and solve for x} \\ 1*(51)/(4)=10* x \\ (51)/(4)=10x \\ \text{divide both sides by 10} \\ ((51)/(4))/(10)=(10x)/(10) \\ x=(51)/(4)*(1)/(10)=(51)/(40)=1.275 \end{gathered}`

the number of boxes required to cover the room is 1.275 boxes and he'll need a minimum of 2 boxes to do so.

the answer is option B