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
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.