Quadrilateral ABCD - quadrilateral WXYZ, AB = 14 cm, BC = 28 cm, CD = 21 cm, and the scale factor of ABCD to WXYZ is 3/7. Find XY.

Respuesta :

The length of the side of the quadrilateral is 12 cm.

A closed quadrilateral has a total of four sides,  four angles and four vertices.

  • It is a form of polygon. In order to create it, four are joined(not colinear ). Quadrilaterals always have a total internal angle of 360 degrees.
  • Typically, quadrilaterals will have four-sided standard shapes like rectangles, squares, trapezoids, and kites or they may be irregular and undefined.
  • Following is another approach to group different kinds of quadrilaterals: Quadrilaterals that are convex have two diagonals that are entirely enclosed within the figure.
  • Concave Quadrilaterals: At least one diagonal extends partially or completely beyond the boundaries of the figure.
  • Quadrilaterals that intersect: Quadrilaterals that intersect don't just have two non-adjacent sides cross each other.
  • Quadrilaterals of this type are referred to as self-intersecting .

from the scale factor properties of quadrilaterals we know that:

Scale factor = BC ÷ XY

Now we substitute the values to find the length of XY.

[tex]or, \frac{3}{7} =\frac{BC}{XY} \\\\or, \frac{3}{7} =\frac{28}{XY}\\\\or, XY = 65.33..\\\\or, XY\approx65.33[/tex]

Hence the length of XY is 65.33 cm.

To learn more about quadrilaterals visit:

https://brainly.com/question/3642328

#SPJ9