Answer:
18 units
Explanation:
The vertices are:
A = (1, 3)
B = (7, 3)
C = (7, 7)
D = (4, 7)
Distance between A and B:
AB= √[(7−1)² +(3−3)²] =6
Distance between B and C:
BC= √[(7−7)² +(7−3)²] =4
Distance between C and D:
CD= √[(4−7)² +(7−7)²] =3
Distance between D and A:
DA= √[(1−4)² +(3−7)²] =5
Now, add up the distances to find the perimeter:
Perimeter=AB+BC+CD+DA=6+4+3+5=18
So, the perimeter of the polygon is 18 units. The correct choice is:
18 units