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Verified Answer :

carlosego

By definition, the rectangle area is given by:
 \(A = w * l\)
 Where,
 w: width of the rectangle
 l: length of the rectangle
 Substituting values we have:
 \(A = (yv) * (yx) A = (24) * (yx)\)
 Therefore, the value of wx is given by:
 \(yx = \frac{A}{24}\)
 Answer:
 the length of line segment  yx is:
 \(yx = \frac{A}{24}\)

calculista

Answer:

\(yx=8\sqrt{3}\ units\)

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the given rectangle

\(xw=yv\)

\(yx=vw\)

\(tan(30\°)=\frac{vw}{xw}\)

solve for vw

\(vw=xwtan(30\°)\)

we have

\(xw=yv=24\ units\)

\(tan(30\°)=\frac{\sqrt{3}}{3}\)

substitute

\(vw=(24)\frac{\sqrt{3}}{3}\)

\(vw=8\sqrt{3}\ units\)

remember that

\(yx=vw\)

so

\(yx=8\sqrt{3}\ units\)

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