Question

Find the perimeter of rectangle ABCD , with vertices A(1,7) , B(4,7) , C(4,−4) , and D(1,−4) .(1 point)
Responses

33 units
33 units

28 units
28 units

12 units
12 units

16 units

Answer 1

The perimeter of a rectangle can be found by adding up the lengths of all four sides.

Side AB = distance between points A and B = 4-1 = 3 units
Side BC = distance between points B and C = 7-(-4) = 11 units
Side CD = distance between points C and D = 4-1 = 3 units
Side DA = distance between points D and A = 7-(-4) = 11 units

Perimeter = AB + BC + CD + DA
Perimeter = 3 + 11 + 3 + 11 = 28 units

Therefore, the perimeter of rectangle ABCD is 28 units.