Question

Lanie's room is in the shape of a parallelogram. The floor of her room is shown below and has an area of 108 square feet. Lanie has a rectangular rug that is 6 feet wide and 10 feet long

Answer 1

Answer:

The height of the parallelogram is;

$12ft$

Compare the length of the rug to the height of the parallelogram;

$10ft<12ft$

Compare the widths of the rug and the room;

$6ft<9ft$

Explanation:

Given that Lanie's room is in the shape of a parallelogram.

The floor of her room is shown below and has an area of 108 square feet;

$A=108ft^2$

From the figure in the attached image, the base length of the parallelogram is;

$l=9ft$

The height of the parallelogram can then be calculated as;

$\begin{gathered} A=l\times h \\ 108=9\times h \\ h=\frac{108}{9} \\ h=12ft \end{gathered}$

Lanie has a rectangular rug that is 6 feet wide and 10 feet long​;

$\begin{gathered} l_r=10\text{ ft} \\ w_r=6ft \end{gathered}$

So;

The height of the parallelogram is;

$12ft$

Compare the length of the rug to the height of the parallelogram;

[tex]\begin{gathered} l_rCompare the widths of the rug and the room;[tex]\begin{gathered} w_r