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

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`

Step-by-step 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* h \\ 108=9* h \\ h=(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