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SSAT Middle Level Math : How to find a square on a coordinate plane

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Example Questions

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

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The above square has an area of 100 square units. What fraction of the area of square is in quadrant II?

Possible Answers:

$\frac{3}{4}$

$\frac{2}{4}$

$\frac{1}{4}$

$\frac{3}{8}$

Correct answer:

$\frac{1}{4}$

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, $\frac{1}{4}$ 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 $\frac{25}{100}=\frac{1}{4}$ .

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Example Question #2 : How To Find A Square On A Coordinate Plane

If a square has an area of square units, what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, apply the formula A=S^2 , 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 P=4S .

Thus, the solution is $P=4\times7=28$

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

A square has an area of square units, what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

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

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Find the perimeter of the square shown above.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of this square, apply the formula: P=4S , where the length of one side of the square.

Thus, the solution is:

P=4S
$P=4\times6=24$

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

A square has an area of 121 square units, what is the perimeter of the square?

Possible Answers:

120

Correct answer:

Explanation:

In order to solve this problem, apply the formula A=S^2 , in order to conclude that the length of side must equal for the area to equal 121 .

Once you've found the length of side , apply the formula P=4S

$P=4\times11=44$

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Example Question #6 : How To Find A Square On A Coordinate Plane

A square has an area of 144 square units. Find the perimeter.

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, apply the formula A=S^2 , in order to conclude that the length of side must equal for the area to equal 144 .

Once you've found the length of side , apply the formula P=4S

$P=4\times12=48$

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Example Question #7 : How To Find A Square On A Coordinate Plane

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Find the area of the above square.

Possible Answers:

28 units^2

42 units^2

30 units^2

36 units^2

Correct answer:

36 units^2

Explanation:

In order to find the area of the square above apply the formula: A=S^2 , where the length of one side of the square.

Since S=6 ,
the solution is $A=6^2=6\times6=36$

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Example Question #8 : How To Find A Square On A Coordinate Plane

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Find the area of the square shown above.

Possible Answers:

125 units^2

110 units^2

100 units^2

100

Correct answer:

100 units^2

Explanation:

In order to find the area of the above square, apply the formula: A=S^2 , when equals the length of one side of the square.

Since, S=10 the solution is:

$A=10^2=10\times10=100$

Make sure to attach "square units" to your answer!

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SSAT Middle Level Math : How to find a square on a coordinate plane

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

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

Example Question #2 : How To Find A Square On A Coordinate Plane

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

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

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

Example Question #6 : How To Find A Square On A Coordinate Plane

Example Question #7 : How To Find A Square On A Coordinate Plane

Example Question #8 : How To Find A Square On A Coordinate Plane

All SSAT Middle Level Math Resources

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