To find the perimeter of the outside seating area, we need to find the distance between each pair of consecutive points and then add them up.
AB:
Length = √((-3 - (-11))^2 + (11 - 11)^2)
Length = √(8^2 + 0^2)
Length = √(64)
Length = 8 feet
BC:
Length = √((-3 - (-3))^2 + (1 - 11)^2)
Length = √(0^2 + 10^2)
Length = √(100)
Length = 10 feet
CD:
Length = √((-11 - (-3))^2 + (1 - 1)^2)
Length = √(-8^2 + 0)
Length = √(64)
Length = 8 feet
DA:
Length = √((-11 - (-11))^2 + (1 - 11)^2)
Length = √(0^2 + 10^2)
Length = √(100)
Length = 10 feet
Adding up the lengths of all the sides:
Perimeter = AB + BC + CD + DA
Perimeter = 8 + 10 + 8 + 10
Perimeter = 36 feet
Therefore, the restaurant will need 36 feet of wall material to build the new outside seating area.
A restaurant is building an outside seating area. The owner created a map with the coordinates A(−11,11), B(−3,11), C(−3,1), and D(−11,1). Each unit on the coordinate plane represents 1 foot. Solve to find out how many feet of wall material they will need to build the new area (the perimeter).(1 point)
Responses
80
1 answer