SSAT Elementary Level Math : Quadrilaterals

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

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Example Questions

Example Question #1 : Squares

What is the area of a square with sides 13 inches long?

Possible Answers:

\(\displaystyle 62\;in^{2}\)

\(\displaystyle 189\;in^{2}\)

\(\displaystyle 52\;in^{2}\)

\(\displaystyle 169\;in^{2}\)

\(\displaystyle 109\;in^{2}\)

Correct answer:

\(\displaystyle 169\;in^{2}\)

Explanation:

The area of a square can be found by multiplying the length of a side by itself:

\(\displaystyle 13 \times 13 = 169\)

Example Question #1 : How To Find The Area Of A Square

What is the area of a square that has a side measuring 1 inch in length? 

Possible Answers:

\(\displaystyle 1\:in^{2}\)

\(\displaystyle 4\:in^{2}\)

\(\displaystyle 2\:in^{2}\)

\(\displaystyle 3\:in^{2}\)

Correct answer:

\(\displaystyle 1\:in^{2}\)

Explanation:

A square has four equal sides. The area of a square is found by the equation \(\displaystyle Area=side\times side\)

\(\displaystyle 1\: in\:\times \:1\:in=1\:in^{2}\)

Example Question #1 : How To Find The Area Of A Square

What is the area of a square that has a side measuring 3 inches in length? 

Possible Answers:

\(\displaystyle 6\:in^2\)

\(\displaystyle 12\:in^2\)

\(\displaystyle 3\:in^2\)

\(\displaystyle 9\:in^2\)

Correct answer:

\(\displaystyle 9\:in^2\)

Explanation:

A square has four equal sides. The area of a square is found by the equation \(\displaystyle Area=side\times side\).

\(\displaystyle 3\:in \:\times\:3\:in=9\:in^2\)

Example Question #2 : How To Find The Area Of A Square

Screen_shot_2014-02-20_at_9.16.17_pm

What is the area of the square?

Possible Answers:

\(\displaystyle 49\)

\(\displaystyle 77\)

\(\displaystyle 28\)

\(\displaystyle 14\)

\(\displaystyle 70\)

Correct answer:

\(\displaystyle 49\)

Explanation:

To find the area of a square, multiply one side by itself. 

\(\displaystyle $7\times 7$ = 49\)

Example Question #1 : Geometry

Screen_shot_2014-03-08_at_2.45.54_pm

What is the area of the square?

Possible Answers:

\(\displaystyle 55\)

\(\displaystyle 20\)

\(\displaystyle 40\)

\(\displaystyle 25\)

\(\displaystyle 50\)

Correct answer:

\(\displaystyle 25\)

Explanation:

The area of a square is equal to the length of one side multiplied by itself. 

\(\displaystyle 5\times 5 = 25\)

Example Question #1 : Plane Geometry

Screen_shot_2014-03-29_at_1.38.47_pm

What is the area of the square?

Possible Answers:

\(\displaystyle 96\)

\(\displaystyle 121\)

\(\displaystyle 144\)

\(\displaystyle 48\)

\(\displaystyle 202\)

Correct answer:

\(\displaystyle 144\)

Explanation:

To find the area of a square, simply multiply the length of one side by itself!

\(\displaystyle 12 \times 12 = 144\)

Example Question #4 : How To Find The Area Of A Square

Screen_shot_2014-01-11_at_1.40.18_pm

What is the area of the square?

Possible Answers:

\(\displaystyle 144\)

\(\displaystyle 101\)

\(\displaystyle 121\)

\(\displaystyle 44\)

\(\displaystyle 88\)

Correct answer:

\(\displaystyle 121\)

Explanation:

To find the area of this square, simply square the side length:

\(\displaystyle 11\times 11 = \mathbf{121}\)

Example Question #2 : Plane Geometry

Screen_shot_2014-10-11_at_10.05.25_pm

What is the area of the above square?

Possible Answers:

\(\displaystyle 25\)

\(\displaystyle 55\)

\(\displaystyle 15\)

\(\displaystyle 5\)

\(\displaystyle 20\)

Correct answer:

\(\displaystyle 25\)

Explanation:

To find the area of the square, multiply the length of one side (\(\displaystyle 5\)) by itself.

\(\displaystyle 5 \times 5 = 25\)

Example Question #3 : Plane Geometry

What is the AREA of the square in the figure?Screen_shot_2014-01-31_at_3.53.52_pm

Possible Answers:

20 cm

10 cm

40 cm

1,000 cm

100 cm

Correct answer:

100 cm

Explanation:

Because the question asks you to find the AREA of the square, you are looking to figure out how much space the square covers. You find the area of squares by multiplying the length of the square times the width. So \(\displaystyle A = L \times W\), or \(\displaystyle A = 10\: cm\times 10\: cm.\) 

Therefore the correct answer is 100 cm.

Example Question #4 : Plane Geometry

A square has a perimeter of \(\displaystyle 36\) units. What is the area of the square?

Possible Answers:

\(\displaystyle 73\) units squared

\(\displaystyle 36\) units squared

\(\displaystyle 90\) units squared

\(\displaystyle 64\) units squared

\(\displaystyle 81\) units squared

Correct answer:

\(\displaystyle 81\) units squared

Explanation:

Since a square has four sides of the same length, you can divide its perimeter by \(\displaystyle 4\) to figure out the length of one of its sides: \(\displaystyle 9\) units. The area of a square can be calculated by multiplying two of its sides together, so the area of this square is \(\displaystyle 81\) units squared, because \(\displaystyle 9*9=81\).

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