### All SSAT Middle Level Math Resources

## Example Questions

### 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:**

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:**

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:**

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

**Possible Answers:**

Impossible to calculate

**Correct answer:**

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

Therefore the equation becomes,

### Example Question #161 : Plane Geometry

Find the perimeter of the trapezoid:

**Possible Answers:**

**Correct answer:**

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

### Example Question #161 : Plane Geometry

Find the perimeter of the given trapezoid if

**Possible Answers:**

**Correct answer:**

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

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

### Example Question #121 : Quadrilaterals

Find the perimeter of the given trapezoid if

**Possible Answers:**

**Correct answer:**

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

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

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

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.

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

Find the area of the trapezoid above.

*Note: Image not drawn to scale.*

**Possible Answers:**

**Correct answer:**

The area of a trapezoid is equal to the average of the length of the two bases multiplied by the height.

The formula to find the area of a trapezoid is:

In this problem, the lengths of the bases are and Their average is . The height of the trapezoid is

Remember: the answer to the problem should have units in cm^{2} .

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

Find the area of a trapezoid with a height of and base lengths of and , respectively.

**Possible Answers:**

**Correct answer:**

The area of a trapezoid is equal to the average of its two bases ( and ) multiplied by its height . Therefore:

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