MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free!

## Trapezoids - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

See some of our other supported math practice problems.

### Complexity=1

Find the perimeter and area.

 1 perimeter = units area = units2 2 perimeter = units area = units2

### Complexity=2

Find the perimeter and area.

 1 perimeter = units area = units2 2 perimeter = units area = units2

### Complexity=3

Find x.

 1.   If the perimeter is 20, then what is x? x = units 2.   If the perimeter is 42, then what is x? x = units

### Complexity=4

Find x.

 1.   If the area is 84 units2, then what is x? x = units 2.   If the area is 48 units2, then what is x? x = units

### Complexity=1

Find the perimeter and area.

1
perimeter = units
area = units2
Solution
To find the perimeter, add up all the sides.
Perimeter = 10 + 5 + 11 + 10 = 36

Area of a trapezoid = ½ * height * (base1 + base2)
In this trapezoid, base1 = 5 and base2 = 10.
Area = ½ * 10 * (5 + 10) = 75
2
perimeter = units
area = units2
Solution
To find the perimeter, add up all the sides.
Perimeter = 7 + 3 + 7 + 11 = 28

Area of a trapezoid = ½ * height * (base1 + base2)
In this trapezoid, base1 = 3 and base2 = 11.
Area = ½ * 6 * (3 + 11) = 42

### Complexity=2

Find the perimeter and area.

1
perimeter = units
area = units2
Solution
To find the perimeter, add up all the sides.
Perimeter = 8 + 8 + 9 + 4 + 8 = 37

Area of a trapezoid = ½ * height * (base1 + base2)
In this trapezoid, base1 = 8 and base2 = 4 + 8.
Area = ½ * 8 * (8 + 4 + 8) = 80
2
perimeter = units
area = units2
Solution
To find the perimeter, add up all the sides.
Perimeter = 8 + 3 + 6 + 3 + 6 = 26

Area of a trapezoid = ½ * height * (base1 + base2)
In this trapezoid, base1 = 3 and base2 = 3 + 6.
Area = ½ * 6 * (3 + 3 + 6) = 36

### Complexity=3

Find x.

1
If the perimeter is 20, then what is x?
x = units
Solution
The perimeter is the sum of all the sides.
So x = perimeter - all known sides
x = 20 - 7 - 4 - 3
x = 6
2
If the perimeter is 42, then what is x?
x = units
Solution
The perimeter is the sum of all the sides.
So x = perimeter - all known sides
x = 42 - 20 - 10 - 6
x = 6

### Complexity=4

Find x.

1
If the area is 84 units2, then what is x?
x = units
Solution
Area of a trapezoid = ½ * height * (base1 + base2)
base2 = 4 + 9 + x
84 = ½ * 6 * (9 + 4 + 9 + x)
x = 6