Question

line segment yv of rectangle yvwx measures 24 units. what is the length of line segment yx?

Answer 1

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:
 $yx = \frac{A}{24}$

Answer 2

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

$yx=8\sqrt{3}\ units$