Question

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< 6th grade
Geometry
Quiz 4
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
A(2, -3), B(4, -3), C(4,5), and D(2,5).
What is the perimeter of rectangle ABCD?
units

Answer 1

Answer:

32 units

Step-by-step explanation:

step 1

Plot the vertices to better understand the problem

we have

A(2, -3), B(4, -3), C(4,5), and D(2,5)

using a graphing tool

see the attached figure

The perimeter of the rectangle ABCD is equal to

$P=2(b+h)$

where

$b=AB=4-2=2\ units$ ----> difference of the x-coordinates

$h=BC=5-(-3)=8\ units$ --> difference of the y-coordinates

substitute

$P=2(2+8)=32\ units$