Question

Please help me with the question please ASAP

Answer 1

Answer:

The ratio of perimeter of ABCD to perimeter of WXYZ = $\frac{2}{3}$

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 = $\frac{12}{8}$

                                = 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 = $\frac{perimeter of ABCD}{Perirmeter of WXYZ}$

       = $\frac{28}{42}$

       = $\frac{2}{3}$

The ratio of the perimeter of ABCD to perimeter of WXYZ is $\frac{2}{3}$.