Question

Find the perimeter of the shape below:

Answer 1

Answer:

21.4

Step-by-step explanation:

Answer 2

The given points are:

A             -4            3

B             0              2

C             2              4

D             0              -3

 

We use the distance formula to calculate for the length of each segment.

D^2 = (x2 – x1)^2 + (y2 – y1)^2

 

For segment AB:

D^2 = (0 + 4)^2 + (2 – 3)^2 = 17

D = sqrt 17

 

For segment BC:

D^2 = (2 - 0)^2 + (4 - 2)^2 = 8

D = sqrt 8

 

For segment CD:

D^2 = (0 - 2)^2 + (-3 – 4)^2 = 53

D = sqrt 53

 

For segment DA:

D^2 = (-4 - 0)^2 + (3 + 3)^2 = 52

D = sqrt 52

 

Getting the sum of all the segments will give the perimeter.

Perimeter = sqrt 17 + sqrt 8 + sqrt 53 + sqrt 52

Perimeter = 21.44