Quadrilateral PQRSis graphed in the coordinate plane.
To the nearest tenth, what is the perimeter of quadrilateral PQRS?

33.6

Step-by-step explanation:

As we can see in the graph, the points:

To find a distance between two points or the length of the segment, we use the following formula:

Because the two points P and Q are located at the same libe y = 8

=> the lenght of PQ =

Because the two points R and Q are located at the same libe x = 6

=>  the length of RQ =

The lenght of RS is: =

The lenght of SP is: = 8.5

=>  the perimeter of quadrilateral PQRS = PQ+RQ+RS+SP

= 8+6+11.1+8.5

= 33.6

length of segment YZ is 8 cm

Step-by-step explanation:

given data

AB = 16 cm

DA = 3 cm

AB and DA form interior angle  =  45-degre

WX ≠ YZ

WX = 16 cm

to find out

length of segment YZ

solution

area of △ABD is  the same as the area of △BCD

and

area of △ABD is express as

area of △ABD = AB × AD × sin(45) ÷ 2    ............1

put here value

area of △ABD = 16 × 3√2 × sin(45) ÷ 2

area of △ABD = 24

and

area of the parallelogram is

area of the parallelogram = 24 × 2

area of the parallelogram = 48

so

now we will consider here YZ = x

and Since ZY XW is isosceles trapezoid

so here we can say that

WM = ZM = (16 - x)  ÷ 2   .......................2

so area of  trapezoid will be

area of  trapezoid =         .......................3

area of  trapezoid =    

48 =  

solve it we get

x = 8

so length of segment YZ is 8 cm