SSAT Middle Level Math : Trapezoids

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

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Example Questions

Example Question #151 : Plane Geometry

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 #152 : Plane Geometry

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 #153 : Plane Geometry

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 #154 : Plane Geometry

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 #155 : Plane Geometry

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 #156 : Plane Geometry

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 #1 : How To Find The Perimeter Of A Trapezoid

Find the perimeter of the trapezoid:
Question_12

Possible Answers:

Correct answer:

Explanation:

The perimeter of any shape is equal to the sum of the lengths of its sides:

Example Question #161 : Plane Geometry

Trapezoid

Find the perimeter of the given trapezoid if 

Possible Answers:

Correct answer:

Explanation:

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

Trapezoid_labeled

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

Example Question #11 : How To Find The Perimeter Of A Trapezoid

Trapezoid

Find the perimeter of the given trapezoid if 

Possible Answers:

Correct answer:

Explanation:

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

Trapezoid_labeled

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

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

Trapezoid

The above diagram depicts a rectangle  with isosceles triangle .  is the midpoint of . What is the ratio of the area of the orange trapezoid to that of the white triangle?

Possible Answers:

More information is needed to answer this question.

Correct answer:

Explanation:

We can simplify this problem by supposing that the length of one leg of a triangle is 2. Then the other leg is 2, and the area of the triangle is 

Since  is the midpoint of  , . Also, since opposite sides of a rectangle are congruent,

.

This makes the trapezoid one with height 2 and bases 2 and 4, so 

The ratio of the area of the trapezoid to that of the triangle is 6 to 2, which simplifies to 3 to 1.

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