How to find a square on a coordinate plane
Help Questions
SSAT Middle Level Quantitative › How to find a square on a coordinate plane

The above square has an area of  square units. What fraction of the area of square is in quadrant II?
Explanation
To find the fraction of the entire squares area that lays in quadrant II, notice that the square is taking up an equivalent amount in each of the four quadrants. Thus,  of the squares area is in quadrant II.
Also note that the area of the square that lays in quadrant II is  square units, thus the problem could have alternatively been solved by reducing 
.
A square has an area of  square units, what is the perimeter?
Explanation
In order to solve this problem, apply the formula , in order to conclude that the length of side 
 must equal 
 for the area to equal 
.
Once you've found the length of side , apply the formula 
A square has an area of  square units, what is the perimeter of the square?
Explanation
In order to solve this problem, apply the formula , in order to conclude that the length of side 
 must equal 
 for the area to equal 
.
Once you've found the length of side , apply the formula 

Find the area of the square shown above.
Explanation
In order to find the area of the above square, apply the formula: , when 
 equals the length of one side of the square.
Since,  the solution is:
Make sure to attach "square units" to your answer!

Find the perimeter of the square shown above.
Explanation
To find the perimeter of this square, apply the formula: , where 
 the length of one side of the square.
Thus, the solution is:
A square has an area of  square units. Find the perimeter.
Explanation
In order to solve this problem, apply the formula , in order to conclude that the length of side 
 must equal 
 for the area to equal 
.
Once you've found the length of side , apply the formula 

Find the area of the above square.
Explanation
In order to find the area of the square above apply the formula: , where 
 the length of one side of the square.
Since ,
the solution is 
If a square has an area of  square units, what is the perimeter?
Explanation
In order to solve this problem, apply the formula , in order to conclude that the length of side 
 must equal 
 for the area to equal 
.
Once you've found the length of side , apply the formula 
.
Thus, the solution is