Answer:
Step-by-step explanation:
The complete question is
Pascal wanted the area of the floor to be 54 square feet and the width still to be 2/3 the length?what would the dimensions of the floor be.
We know that the area of a rectanlge is [tex]A= w \times l[/tex], where [tex]w[/tex] is width and [tex]l[/tex] is length.
Now, according to the problem, the width is 2/3 of the length, that means
[tex]w=\frac{2}{3}l[/tex]
And the area is [tex]A=54 \ ft^{2}[/tex], replacing them, we have
[tex]54=\frac{2}{3}l \times l[/tex]
Then, we solve for the length
[tex]54=\frac{2}{3}l^{2}\\ \frac{162}{2}=l^{2} \\ l^{2} =81\\l=\sqrt{81}=9[/tex]
So, the length of the floor is 9 feet long.
Now, we use the length value to find the width
[tex]w=\frac{2}{3}(9)=6[/tex]
So, the width is 6 feet long.
Therefore, the dimensions of the floor are 9 feet length and 6 feet width.