How to find a square on a coordinate plane

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ISEE Lower Level Quantitative Reasoning › How to find a square on a coordinate plane

Questions 1 - 8

1

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

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

$A=w\times l$ or

$A=6\times 6=36$

2

New_vt_custom_xy_plane3

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

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:

$A=4^2=4\times4=16$

3

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

Square

Trapezoid

Parallelogram

Kite

Explanation

If the points are plotted on to a graph, you should notice that the points form a square with side lengths of .

4

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

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.

Thus, the correct answer is:

$A=5^2=5\times 5=25$

5

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:

$A=(0,0), B=(5,0)\rightarrow S=5$

Thus,

$p=4\times5=20$

6

New_vt_custom_xy_plane4

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:

$P=4\times3=12$

7

New_vt_custom_xy_plane3

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:

$perimeter=4\times S=4\times4=16$

8

New_vt_custom_xy_plane4

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:

$P=4\times8=32$

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