# ISEE Lower Level Quantitative : How to find a square on a coordinate plane

## Example Questions

### Example Question #1 : How To Find A Square On A Coordinate Plane

Square ABCD has coordinate points: . Find the area of square .

square units

square units

square units

square units

square units

Explanation:

To find the area of square  apply the formula: , where  is the length of one side of the square.

Thus, the solution is:

### Example Question #1 : How To Find A Square On A Coordinate Plane

Square  has coordinate points: . Find the perimeter of square .

Explanation:

In order to find the perimeter of square  apply the formula: , where  the length of one side of the square.

The solution is:

### Example Question #3 : How To Find A Square On A Coordinate Plane

Square  has coordinate points:. What is the perimeter of square ?

Explanation:

In order to find the perimeter of square  apply the formula: , where  equals the length of one side of the square.

Since,  the solution is:

### Example Question #4 : How To Find A Square On A Coordinate Plane

Square  has coordinate points: . Find the perimeter of square.

Explanation:

In order to find the perimeter of square  apply the formula:, where  is the length of one side of the square.

Since,   the solution is:

### Example Question #5 : How To Find A Square On A Coordinate Plane

Square  has coordinate points: . Find the area of square

square units

square units

square units

square units

square units

Explanation:

The area of square  can be found by multiplying the width and length of the rectangle.

The solution is:
width , length

or

### Example Question #1 : How To Find A Square On A Coordinate Plane

Square  has coordinate points: ,. Find the area of square .

square units

square units

square units

square units

square units

Explanation:

The fomula used to find the area of a square is

To find the side length of our square look at the distance between the x or y values two of our coordinate points.

thus the length of a side is 5 units.

### Example Question #1 : How To Find A Square On A Coordinate Plane

Square  has coordinate points: ,. Find the perimeter of square .

Explanation:

The perimeter of square  can be found by applying the formula:

, where  the length of one side of the square.

To find the length of the square look at the coordinates:

Thus,

### Example Question #231 : Geometry

The points with coordinates  are the vertices of which kind of quadrilateral?

Parallelogram

Trapezoid

Kite

Square