SSAT Middle Level Math : Quadrilaterals

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

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Example Questions

Example Question #2 : How To Find The Perimeter Of A Trapezoid

Trapezoid

Find the perimeter of the given trapezoid if \(\displaystyle l=7, h=4, b_{1}=5, b_{2}=8\)

Possible Answers:

27

24

31

20

Correct answer:

27

Explanation:

In order to find the perimeter of the trapezoid, we must find the sum of the outer edges: 

Trapezoid_labeled

\(\displaystyle 7+5+7+8=27\)

Notice that we didn't use height in our calculation. 

Example Question #2 : How To Find The Perimeter Of A Trapezoid

Trapezoid

Find the perimeter of the given trapezoid if \(\displaystyle l=14, h=12, b_{}1=10, b_{2}=18\)

Possible Answers:

54

44

56

22

Correct answer:

56

Explanation:

To find the perimeter, we need to find the sum of the outer edges:

\(\displaystyle l+b_1+l+b_2=P\)

 \(\displaystyle 14+10+14+18=56\)

Notice that we didn't use height in our calculation. 

Example Question #3 : How To Find The Perimeter Of A Trapezoid

Measured in units, the bases of a trapezoid are \(\displaystyle 20\) and \(\displaystyle 10\), the lengths are \(\displaystyle 5\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

\(\displaystyle 30\)

\(\displaystyle 20\)

\(\displaystyle 10\)

\(\displaystyle 40\)

Impossible to calculate.

Correct answer:

\(\displaystyle 40\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 20\) and \(\displaystyle 10\), along with both the lengths, \(\displaystyle 10\).

Therefore the equation becomes,

\(\displaystyle 20+10+5+5=40\)

Example Question #5 : How To Find The Perimeter Of A Trapezoid

Measured in units, the bases of a trapezoid are \(\displaystyle 30\) and \(\displaystyle 20\), the lengths are \(\displaystyle 5\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

Impossible to calculate.

\(\displaystyle 60\)

\(\displaystyle 20\)

\(\displaystyle 40\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 60\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 30\) and \(\displaystyle 20\), along with both lengths, \(\displaystyle 10\).

Therefore the equation becomes,

\(\displaystyle 30+20+5+5=60\)

Example Question #372 : Ssat Middle Level Quantitative (Math)

Measured in units, the bases of a trapezoid are \(\displaystyle 30\) and \(\displaystyle 20\), the lengths are \(\displaystyle 10\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

\(\displaystyle 70\)

\(\displaystyle 90\)

\(\displaystyle 40\)

\(\displaystyle 50\)

Impossible to calculate.

Correct answer:

\(\displaystyle 70\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 30\) and \(\displaystyle 20\), along with both lengths, \(\displaystyle 20\).

Therefore the equation becomes,

\(\displaystyle 30+20+10+10=70\)

Example Question #1 : Trapezoids

Measured in units, the bases of a trapezoid are \(\displaystyle 30\) and \(\displaystyle 10\), the lengths are \(\displaystyle 10\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

Impossible to calculate.

\(\displaystyle 40\)

\(\displaystyle 60\)

\(\displaystyle 120\)

\(\displaystyle 70\)

Correct answer:

\(\displaystyle 60\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 30\) and \(\displaystyle 10\), along with both the lengths, \(\displaystyle 20\).

Therefore the equation becomes,

\(\displaystyle 30+10+10+10=60\)

Example Question #9 : How To Find The Perimeter Of A Trapezoid

Measured in units, the bases of a trapezoid are \(\displaystyle 60\) and \(\displaystyle 20\), the lengths are \(\displaystyle 10\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

\(\displaystyle 60\)

\(\displaystyle 70\)

\(\displaystyle 100\)

\(\displaystyle 50\)

Impossible to calculate.

Correct answer:

\(\displaystyle 100\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 60\) and \(\displaystyle 20\), along with both the lengths, \(\displaystyle 20\).

Therefore the equation becomes,

\(\displaystyle 60+20+10+10=100\)

Example Question #10 : How To Find The Perimeter Of A Trapezoid

Measured in units, the bases of a trapezoid are \(\displaystyle 10\) and \(\displaystyle 5\), the lengths are \(\displaystyle 2\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

Impossible to calculate.

\(\displaystyle 19\)

\(\displaystyle 15\)

\(\displaystyle 10\)

\(\displaystyle 20\)

Correct answer:

\(\displaystyle 19\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 10\) and \(\displaystyle 5\), along with both the lengths, \(\displaystyle 4\).

Therefore the equation becomes,

\(\displaystyle 10+5+2+2=19\)

Example Question #191 : Geometry

Measured in units, the bases of a trapezoid are \(\displaystyle 15\) and \(\displaystyle 50\), the lengths are \(\displaystyle 20\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

\(\displaystyle 45\)

\(\displaystyle 95\)

Impossible to calculate.

\(\displaystyle 105\)

\(\displaystyle 80\)

Correct answer:

\(\displaystyle 105\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 15\) and \(\displaystyle 50\), along with both the lengths, \(\displaystyle 40\).

Therefore the equation becomes,

\(\displaystyle 15+50+20+20=105\)

Example Question #381 : Ssat Middle Level Quantitative (Math)

Measured in units, the bases of a trapezoid are \(\displaystyle 50\) and \(\displaystyle 20\), the lengths are \(\displaystyle 20\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

Impossible to calculate.

\(\displaystyle 110\)

\(\displaystyle 90\)

\(\displaystyle 80\)

\(\displaystyle 100\)

Correct answer:

\(\displaystyle 110\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 50\) and \(\displaystyle 20\), along with both the lengths, \(\displaystyle 40\).

Therefore the equation becomes,

\(\displaystyle 50+20+20+20=110\)

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