A contractor is building a new house. She creates a map with the coordinates A(6,12)
, B(6,−6)
, C(−4,−6)
, and D(−4,12)
. Each unit on the coordinate plane represents 1 yard. What is the perimeter of the outside of the house?(1 point)
yards
To find the perimeter of the outside of the house, we need to calculate the length of each side and then sum them up.
Side AB:
The x-coordinate of point A is 6 and the x-coordinate of point B is also 6. Therefore, the length of side AB is |6 - 6| = 0 yards.
Side BC:
The y-coordinate of point B is -6 and the y-coordinate of point C is also -6. Therefore, the length of side BC is |-6 - (-6)| = 0 yards.
Side CD:
The x-coordinate of point C is -4 and the x-coordinate of point D is also -4. Therefore, the length of side CD is |-4 - (-4)| = 0 yards.
Side DA:
The y-coordinate of point A is 12 and the y-coordinate of point D is also 12. Therefore, the length of side DA is |12 - 12| = 0 yards.
Now, we can calculate the perimeter by summing up the lengths of the sides:
Perimeter = AB + BC + CD + DA = 0 + 0 + 0 + 0 = 0 yards.
Therefore, the perimeter of the outside of the house is 0 yards.