IXL - Area and perimeter in the coordinate plane II (Geometry practice)

What is the perimeter of square

Write your answer as an integer or as a decimal rounded to the nearest tenth.

Perimeter

units

ref_doc_title.

Learn with an example

question

What is the area of square

Area

square units

key idea

Area of a square:

Area

solution

Look at the graph of square

to find the coordinates of the vertices.

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,

WX 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.

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Teacher tools

Work it out

Not feeling ready yet? These can help:

B.13Distance formula

S.7Area and perimeter in the coordinate plane I

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