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

What is the perimeter of square

Perimeter

units

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Learn with an example

question

What is the perimeter of square

Perimeter

units

key idea

Perimeter of a square:

Perimeter

solution

Look at the graph of square

to find the coordinates of the vertices.

To find the perimeter of square

first calculate its side length. Then, plug this value into the formula for the perimeter 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,

DE is the absolute value of the difference in the

-coordinates,

which is

–

So, the length is 14.

Step 2: Find the perimeter.

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

Perimeter of a square

Plug in

(

)

Plug in

Multiply

So, the perimeter of square

is 56 units.

Looking for more? Try these:

Lesson: Perimeter

Lesson: Area of triangles

Lesson: Area of rectangles

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Teacher tools

Work it out

Not feeling ready yet? These can help:

B.13Distance formula

S.3Area of parallelograms and triangles

S.1Perimeter

Lesson: Perimeter

Lesson: Area of triangles

Lesson: Area of rectangles

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