Respuesta :

Answer:

The dimensions of the floor are 9 feet length and 6 feet width.

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.

ACCESS MORE