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 = (A)/(24)`
Answer:
the length of line segment yx is:

`yx = (A)/(24)`

Answer 2

`yx=8√(3)\ units`

Explanation:

see the attached figure to better understand the problem

we know that

In the given rectangle

`xw=yv`

`yx=vw`

`tan(30\°)=(vw)/(xw)`

solve for vw

`vw=xwtan(30\°)`

we have

`xw=yv=24\ units`

`tan(30\°)=(√(3))/(3)`

substitute

`vw=(24)(√(3))/(3)`

`vw=8√(3)\ units`

remember that

`yx=vw`

so

`yx=8√(3)\ units`