SSAT Middle Level Math : Plane Geometry

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

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Example Questions

Example Question #13 : Parallelograms

Find the perimeter of a parallelogram with a height of , a base of , and a side of length

Possible Answers:

Correct answer:

Explanation:

The perimeter of a parallelogram is the sum of the length of its sides. Since we know the length of the base and of another side, we know that the remaining sides of the parallelogram match those lengths. Therefore:

Example Question #14 : Parallelograms

Parallelogram

Find the perimeter of the parallelogram if h=, b=, and c=.

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter, find the sum of each OUTER side: 

Notice the height isn't used in this calculation.

Keep in mind that the sides directly opposite of each other are of the same length. This is why we have  and  appearing twice in our work.

Example Question #6 : How To Find The Perimeter Of A Parallelogram

Parallelogram

Find the perimeter of the given parallelogram if  

Possible Answers:

Correct answer:

Explanation:

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

Parallelogram_labeled

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

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

Parallelogram

Find the perimeter of the given parallelogram if  

Possible Answers:

Correct answer:

Explanation:

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

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

Example Question #1 : How To Find The Perimeter Of A Trapezoid

Q_12_2

Find the perimeter of the trapezoid.

Note: Figure not drawn to scale.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a trapezoid, add the lengths of the sides:

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

Trapezoid

Find the perimeter of the given trapezoid if  

Possible Answers:

19

20

18

14

Correct answer:

20

Explanation:

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

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

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

Trapezoid

Find the perimeter of the given trapezoid if 

Possible Answers:

27

24

20

31

Correct answer:

27

Explanation:

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

Trapezoid_labeled

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 

Possible Answers:

56

22

54

44

Correct answer:

56

Explanation:

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

 

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

Example Question #4 : How To Find The Perimeter Of A Trapezoid

Measured in units, the bases of a trapezoid are  and , the lengths are , and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

Impossible to calculate.

Correct answer:

Explanation:

The perimeter is solved by adding the two bases together,  and , along with both the lengths, .

Therefore the equation becomes,

Example Question #373 : Ssat Middle Level Quantitative (Math)

Measured in units, the bases of a trapezoid are  and , the lengths are , and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

Impossible to calculate.

Correct answer:

Explanation:

The perimeter is solved by adding the two bases together,  and , along with both lengths, .

Therefore the equation becomes,

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