Thread: Rectangular

The rectangular WZYX is inside the rectangular ACDB

AB= 8 cm
AC= 6 cm
WX= 8 cm

What is WZ= ?

There are an infinite number of possible solutions. Imagine sliding point X toward A or B. You can aways rotate line XW around X so that W stays on AC. Each angle gives a different solution.

1 possible solution only:

ax=6.2233
aw=5.027
wz=1.2507
cz=0.78594
wc=0.97296

Why not (as an attempt) make angle AWX = 60 degrees; then AW = 4 and AX = 4SQRT(3)

Originally Posted by Mhmh96

The rectangular WZYX is inside the rectangular ACDB

AB= 8 cm
AC= 6 cm
WX= 8 cm

What is WZ= ?

If and only if the points W, X, Y and Z has to be placed on the sides of the rectangle ABCD and Then there is only one unique solution of this question. See attachment #2 to see what happens if is changing but remains constant. Only the thick outlined quadrilateral is a rectangle, all other quadrilaterals are trapezoids.

According to the labeling in attachment #1 you'll get:

........... [1]

The adjacent sides of the rectangle are perpendicular to each other. Using the slopes of the sides you'll get:

........... [2]

From [2] you'll get:

Plug in the term of x into [1] and solve for y. I've to confess that this task was done by my calculator. You'll get:

and consequently


Since you'll get

hat is the difference between a rectangular parallelepiped and a regular parallelepiped?


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