Trapezoid Practice problems, exercises, and tests

Practice and solve 8 trapezoid problems, exercises, and tests. Use to test your understanding of trapezoids and practice your skills.

 

Problem 1: Area of a Trapezoid 

Find the area of a trapezoid with bases $b_1=6$ feet, $b_2=10$ feet, and height $h=8$ feet.

 

Problem 2: Perimeter of a Trapezoid 

Calculate the perimeter of a trapezoid with sides $a=5$ feet, $b_1=7$ feet, $c=5$ feet, and $b_2=9$ feet.

 

Problem 3: Mid-segment of a Trapezoid 

Determine the length of the midsegment of a trapezoid with bases $b_1=12$ feet and $b_2=16$ feet.

 

Test 4: Height of a Trapezoid 

Given the area of a trapezoid as $A=42$ square feet and the lengths of the bases $b_1=6$ feet and $b_2=8$ feet, calculate the height ($$) in feet.

 

Problem 5: Diagonals of a Trapezoid 

Find the lengths of the diagonals $d_1$ and $d_2$ of a trapezoid with height $h=10$ feet, base $b_1=8$ feet, and base $b_2=12$ feet.

 

Exercise 6: Area and Perimeter 

You have a trapezoid with $b_1=14$ feet, $b_2=10$ feet, and height $h=6$ feet. Calculate both its area and perimeter.

 

Problem 7: Mid-segment and Height 

In a trapezoid, the midsegment $m$ is 15 feet long. One base ($b_1$) is 8 feet long. Calculate the height $$ of the trapezoid in feet.

 

Problem 8: Complex Trapezoid 

Given a trapezoid with bases $b_1=9$ feet and $b_2=15$ feet, the midsegment $m$ is 12 feet long, and one of the legs ($$) is 7 feet long. Calculate the area and perimeter of this trapezoid in feet.

 

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