Polygon ABCD has vertices A(0, 2), B(0, 8), C(7, 8), and D(7, 2). What is polygon ABCD and its perimeter? (Hint: Draw the polygon on the coordinate plane and find the slopes of each side.)

A. rectangle; P = 26 linear units
B. square; P = 42 units2
C. parallelogram; P = 42 linear units
D. trapezoid; P = 26 linear units

Question

Polygon ABCD has vertices A(0, 2), B(0, 8), C(7, 8), and D(7, 2). What is polygon ABCD and its perimeter? (Hint: Draw the polygon on the coordinate plane and find the slopes of each side.)

A. rectangle; P = 26 linear units
B. square; P = 42 units2
C. parallelogram; P = 42 linear units
D. trapezoid; P = 26 linear units

marissalovescats · Answer

Hi @elle150  and welcome to OpenStudy! 

The first thing you should do is graph this points on a coordinate grid so you have an idea of what's going on with the shape

anonymous · Answer

hah thanks:) ok im gonna do that now

marissalovescats · Answer

Alright cool and then from there we'll find the perimeter :)

anonymous · Answer

k

marissalovescats · Answer

|dw:1403408938826:dw|

Okay so I graphed it as well and formed our lines so we can see where we're at.

anonymous · Answer

ok i graphed them

marissalovescats · Answer

Lucky for us, all of these lines are straight so we can just count to find the length of each side

marissalovescats · Answer

So there are 4 sides of this shape, you agree? 

Sides: 
AB
BC
CD
AD

anonymous · Answer

so it would be answer A? because it is a rectangle and yes four sides

marissalovescats · Answer

Well we won't know if it's a rectangle, square, etc or not until we find the side lengths.

anonymous · Answer

oh ok that makes sense and we would do that by counting right

marissalovescats · Answer

Okay so side AB: |dw:1403409231214:dw|

Would you agree that this side AB is 6? I just counted from point to point