Respuesta :

[tex]D\text{. 11.67 yards}[/tex]

Explanation

as we can see we have a rigth triangle, and there is a unknow side, we can use Pythagoras therorem

[tex]side^2_1+side^2_2=hypotenuse^2[/tex]

Let

side1=width=w

side2=length=15

hypotenuse= diagonal=19

replace

[tex]\begin{gathered} side^2_1+side^2_2=hypotenuse^2 \\ w^2+15^2=19^2 \\ w^2+225=361 \\ \text{subtract 225 in both sides} \\ w^2+225-225=361-225 \\ w^2=136 \\ \text{square root in both sides} \\ \sqrt[]{w^2}=\sqrt[]{136} \\ w=11.66 \\ \end{gathered}[/tex]

Hence , the answer is

[tex]D\text{. 11.67 yards}[/tex]

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