IXL | Area and perimeter of squares and rectangles on the coordinate plane

Graph square

with vertices

(

)

(

)

(

)

and

(

)

Coordinate plane graph with 4 quadrants, x-axis coordinates from -10 to 10, y-axis coordinates from -10 to 10.

What is the perimeter of square

Perimeter

units

ref_doc_title.

Learn with an example

question

Graph rectangle

with vertices

(

–

)

(

–

)

(

–

)

and

(

–

)

What is the perimeter of rectangle

Perimeter

units

key idea

Perimeter of a rectangle:

Perimeter

solution

To graph rectangle

draw line segments connecting the vertices

(

–

)

(

–

)

(

–

)

and

(

–

)

To find the perimeter of rectangle

first calculate its length and width. Then, plug these values into the formula for the perimeter of a rectangle.

Step 1: Find the length.

Either pair of parallel sides of the rectangle can represent the length. So, pick a pair of parallel sides.

The distance between the vertices

(

–

)

and

(

–

)

is the length.

Since

(

–

)

and

(

–

)

have the same

-coordinate,

DE is the absolute value of the difference in the

-coordinates,

which is

–

So, the length is 9.

Step 2: Find the width.

Look at the other pair of parallel sides.

The distance between the vertices

(

–

)

and

(

–

)

is the width.

Since

(

–

)

and

(

–

)

have the same

-coordinate,

DG is the absolute value of the difference in the

-coordinates,

which is

–

So, the width is 6.

Step 3: Find the perimeter.

Finally, plug in the values for the length and width into the formula for the perimeter of a rectangle.

Perimeter of a rectangle

Plug in

and

(

)

(

)

Plug in

and

Multiply

Add

So, the perimeter of rectangle

is 30 units.

Looking for more? Try these:

Lesson: Area of rectangles

Lesson: Perimeter

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	04

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

R.7Distance between two points

GG.2Area of rectangles and squares

GG.1Perimeter

Lesson: Area of rectangles

Lesson: Perimeter

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!