IXL | Area of figures on the coordinate plane

What is the area of square

Area

square units

ref_doc_title.

Learn with an example

question

What is the area of rectangle

Area

square units

key idea

Area of a rectangle:

Area

solution

Look at the graph of rectangle

to find the coordinates of the vertices.

To find the area of rectangle

first calculate its length and width. Then, plug these values into the formula for the area 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,

CD is the absolute value of the difference in the

-coordinates,

which is

–

So, the length is 7.

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,

CF is the absolute value of the difference in the

-coordinates,

which is

–

So, the width is 1.

Step 3: Find the area.

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

Area of a rectangle

Plug in

and

(

)

(

)

Plug in

and

Multiply

So, the area of rectangle

is 7 square units.

Looking for more? Try these:

Lesson: Area of rectangles

Lesson: Area of triangles

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.6Area of triangles

GG.2Area of rectangles and squares

Lesson: Area of rectangles

Lesson: Area of triangles

Lesson: Perimeter

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