Answer
Question 1
20 units
Question 2
16 units
Step-by-step explanation
The perimeter of a figure is the sum of all the exterior sides.
So, to do this, we need to find the length of all the sides.
The distance between two points with the coordinates (x₁, y₁) and (x₂, y₂) given that one of their two cordinates are the same is given as the difference of the other coordinate
d = (x₂ - x₁) OR
d = (y₂ - y₁)
depending on which coordinate they have that is the same.
Starting with RS
R (1, 1) and S (1, 7)
RS = 7 - 1 = 6
ST
S (1, 7) and T (5, 7)
ST = 5 - 1 = 4
TU
T (5, 7) and U (5, 1)
TU = 7 - 1 = 6
UR
U (5, 1) and R (1, 1)
UR = 5 - 1 = 4
Perimeter = 6 + 4 + 6 + 4 = 20 units
Question 2
Starting with EF
E (3, 6) and F (7, 6)
RS = 7 - 3 = 4
FG
F (7, 6) and G (7, 2)
FG = 6 - 2 = 4
GH
G (7, 2) and H (3, 2)
TU = 7 - 3 = 4
HE
H (3, 2) and E (3, 6)
UR = 6 - 2 = 4
Perimeter = 4 + 4 + 4 + 4 = 16 units
Hope this Helps!!!