How many square yards of carpet should be ordered, rounded to the nearest tenth.

Question

asked Apr 6, 2023 2.7k views

1 Answer

Umesh Kumhar · Answer 1 · 2023-04-11T01:44:45+0000

The dimension for the first room is

$=12ft\text{ by 12ft}$

By conversion,

$1squareyard=0.111\text{ square f}eet$

The area of the first room will be

$\begin{gathered} =l* b \\ =12ft*12ft \\ =144ft^2 \end{gathered}$

The second room has a dimension of

$=10ft\text{ b}y\text{ 14ft}$

The area of the second room will be

$\begin{gathered} =l* b \\ =10ft*14ft \\ =140ft^2 \end{gathered}$

The dimension of the third room is

$21ft\text{ by 20ft}$

The area of the third room will be

$\begin{gathered} =l* b \\ =21ft*20ft \\ =420ft^2 \end{gathered}$

The total area of the three rooms will be

$\begin{gathered} =144ft^2+140ft^2+420ft^2 \\ =704ft^2 \end{gathered}$

Recall that

$\begin{gathered} 1squareyard=0.111\text{ square f}eet \\ 1squareyard=(1)/(9)ft^2 \end{gathered}$

The final answer to be converted to the squared yard would be divide by 9

$\begin{gathered} =(704)/(9)sq\text{ yd} \\ =78.222\text{ sq yd} \\ \approx\text{ to the nearest tenth= 78.2 sq yd} \end{gathered}$

Hence,

The number of square yards of carpet to be ordered = 78.2 sq yd