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).

40 feet
36 feet
52 feet
80 feet

1 answer

To find the perimeter of the outside seating area, we need to add up the lengths of all the sides of the shape formed by the coordinates A, B, C, and D.

The distance between A and B is 8 units (from -11 to -3).
The distance between B and C is 10 units (from 11 to 1).
The distance between C and D is 8 units (from -11 to -3).
The distance between D and A is 10 units (from 11 to 1).

Adding up all the distances, we get:
8 + 10 + 8 + 10 = 36

Therefore, they will need 36 feet of wall material to build the new outside seating area.