Question

Find the perimeter of the polygon with vertices at (1, 3), (7,3), (7, 7), and (4,7).

O
22 units
13 units
18 units
20 units

Answer 1

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