The width of the rectangle is;
[tex]3\sqrt[]{7}\text{ ft}[/tex]Here, we want to get the width of the rectangle
To do this, we need a pictorial representation
We have this as;
As we can see, the rectangle is divided into two equal right-triangles
We have represented the width by w
We can use Pythagoras' theorem to get the width
The square of the diagonal (the hypotenuse) is equal the sum of the squares of the two other sides
Thus, we have;
[tex]\begin{gathered} 12^2=9^2+w^2 \\ 144=81+w^2 \\ w^2\text{ = 144-81} \\ w^2\text{ = 63} \\ w\text{ = }\sqrt[]{63} \\ w\text{ = 3}\sqrt[]{7}\text{ ft} \end{gathered}[/tex]
