SSAT Middle Level Math : Trapezoids

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

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Example Questions

Example Question #1 : Trapezoids

Q_12_2

Find the perimeter of the trapezoid.

Note: Figure not drawn to scale.

Possible Answers:

\(\displaystyle 44\: cm\)

\(\displaystyle 38\: cm\)

\(\displaystyle 52\: cm\)

\(\displaystyle 120\: cm\)

Correct answer:

\(\displaystyle 44\: cm\)

Explanation:

To find the perimeter of a trapezoid, add the lengths of the sides: \(\displaystyle 10+7+7+20=44\: cm\)

Example Question #2 : Trapezoids

Trapezoid

Find the perimeter of the given trapezoid if  \(\displaystyle l=5, b_{1}=4, b_{2}=6, h=6\)

Possible Answers:

18

19

14

20

Correct answer:

20

Explanation:

To find the perimeter, we must find the sum of the OUTER edges: Trapezoid_labeled

\(\displaystyle 5+4+5+6=20\)

Notice that the height wasn't included in our calculation. 

Example Question #3 : Trapezoids

Trapezoid

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

Possible Answers:

31

27

24

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 #4 : Trapezoids

Trapezoid

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

Possible Answers:

44

54

22

56

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:

\(\displaystyle 10\)

Impossible to calculate.

\(\displaystyle 20\)

\(\displaystyle 30\)

\(\displaystyle 40\)

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 #191 : Geometry

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:

\(\displaystyle 40\)

Impossible to calculate.

\(\displaystyle 60\)

\(\displaystyle 10\)

\(\displaystyle 20\)

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 #1 : 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 \(\displaystyle 10\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

\(\displaystyle 90\)

\(\displaystyle 70\)

\(\displaystyle 40\)

\(\displaystyle 50\)

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 #2 : How To Find The Perimeter Of A Trapezoid

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:

\(\displaystyle 40\)

\(\displaystyle 120\)

\(\displaystyle 60\)

Impossible to calculate.

\(\displaystyle 70\)

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,

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

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