Answer:
The ratio of perimeter of ABCD to perimeter of WXYZ = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
First, we have to determine the multiplicative factor of the dimensions for both figures.
Considering sides AB and WX,
multiplicative factor = [tex]\frac{12}{8}[/tex]
= 1.5
So that:
XY = 6 x 1.5 = 9
YZ = 7 x 1.5 = 10.5
ZW = 7 x 1.5 = 10.5
Perimeter of ABCD = 6 + 7 + 7 + 8
= 28
Perimeter of WXYZ = 9 + 10.5 + 10.5 + 12
= 42
The ratio of the perimeters of the two quadrilaterals can be determined as;
ratio = [tex]\frac{perimeter of ABCD}{Perirmeter of WXYZ}[/tex]
= [tex]\frac{28}{42}[/tex]
= [tex]\frac{2}{3}[/tex]
The ratio of the perimeter of ABCD to perimeter of WXYZ is [tex]\frac{2}{3}[/tex].
