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 feet
80 feet
40 feet
40 feet
52 feet
52 feet
36 feet
To find the perimeter of the outside seating area, we need to add up the lengths of all the sides.
Side AB:
√((-3 - (-11))^2 + (11 - 11)^2) = √8^2 = 8 feet
Side BC:
√((-3 - (-3))^2 + (1 - 11)^2) = √10^2 = 10 feet
Side CD:
√((-11 - (-3))^2 + (1 - 1)^2) = √8^2 = 8 feet
Side DA:
√((-11 - (-11))^2 + (1 - 11)^2) = √10^2 = 10 feet
Adding up the lengths of all the sides:
8 + 10 + 8 + 10 = 36 feet
Therefore, the restaurant will need 36 feet of wall material to build the new outside seating area.
The correct answer is: 36 feet