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

Graph rectangle

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 rectangle

Perimeter

units

ref_doc_title.

Learn with an example

question

Graph square

with vertices

(

–

)

(

–

)

(

–

)

and

(

–

)

What is the area of square

Area

square units

key idea

Area of a square:

Area

solution

To graph square

draw line segments connecting the vertices

(

–

)

(

–

)

(

–

)

and

(

–

)

To find the area of square

first calculate its side length. Then, plug this value into the formula for the area of a square.

Step 1: Find the side length.

All sides of a square have the same length. So, pick any of the four sides.

The distance between the vertices

(

–

)

and

(

–

)

is the side length of the square.

Since

(

–

)

and

(

–

)

have the same

-coordinate,

ST is the absolute value of the difference in the

-coordinates,

which is

–

So, the length is 1.

Step 2: Find the area.

Now, plug in the value for the side length into the formula for the area of a square.

Area of a square

Plug in

Square

So, the area of square

is 1 square unit.

Looking for more? Try these:

Lesson: Area of rectangles

Lesson: Perimeter

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

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

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