GeometryFormula

Trapezoid Practice Problems

15 trapezoid problems with full worked solutions, graded from warm-up to stretch — plus an unlimited supply you can generate yourself. Every answer is computed by the same verified function that powers the trapezoid explorer, so the solutions cannot disagree with the formulas. Free, no account, nothing to install.

Formulas you need

  • Area: A=12(a+b)hA = \tfrac{1}{2}(a + b)h
  • Median: m=a+b2m = \dfrac{a + b}{2}

where a, b = the two parallel sides, h = height between the parallel sides, m = median (midsegment), A = area

Generate a new problem

Pick a difficulty, work it out, then check your answer. Every press gives a new question — the numbers are drawn fresh each time, so you can keep going.

Warm-up

  1. A trapezoid has parallel side a = 4, parallel side b = 4 and height h = 3. Find the area (A).

    Answer & working

    12 units²

    A = ½(a + b)h = ½(4 + 4) · 3 = 12

  2. A trapezoid has parallel side a = 2 and parallel side b = 4. Find the median (m).

    Answer & working

    3 units

    median m = (a + b)/2 = (2 + 4)/2 = 3

  3. A trapezoid has parallel side a = 4, parallel side b = 3 and height h = 5. Find the area (A).

    Answer & working

    17.5 units²

    A = ½(a + b)h = ½(4 + 3) · 5 = 17.5

  4. A trapezoid has parallel side a = 2 and parallel side b = 3. Find the median (m).

    Answer & working

    2.5 units

    median m = (a + b)/2 = (2 + 3)/2 = 2.5

  5. A trapezoid has parallel side a = 3, parallel side b = 1 and height h = 2. Find the area (A).

    Answer & working

    4 units²

    A = ½(a + b)h = ½(3 + 1) · 2 = 4

Core practice

  1. A trapezoid has parallel side a = 5, parallel side b = 1 and height h = 5. Find the area (A).

    Answer & working

    15 units²

    A = ½(a + b)h = ½(5 + 1) · 5 = 15

  2. A trapezoid has parallel side a = 7 and parallel side b = 11. Find the median (m).

    Answer & working

    9 units

    median m = (a + b)/2 = (7 + 11)/2 = 9

  3. A trapezoid has parallel side a = 6, parallel side b = 11 and height h = 8. Find the area (A).

    Answer & working

    68 units²

    A = ½(a + b)h = ½(6 + 11) · 8 = 68

  4. A trapezoid has parallel side a = 4 and parallel side b = 11. Find the median (m).

    Answer & working

    7.5 units

    median m = (a + b)/2 = (4 + 11)/2 = 7.5

  5. A trapezoid has parallel side a = 3, parallel side b = 4 and height h = 5. Find the area (A).

    Answer & working

    17.5 units²

    A = ½(a + b)h = ½(3 + 4) · 5 = 17.5

Stretch

  1. A trapezoid has parallel side a = 2.5, parallel side b = 9.5 and height h = 1.5. Find the area (A).

    Answer & working

    9 units²

    A = ½(a + b)h = ½(2.5 + 9.5) · 1.5 = 9

  2. A trapezoid has parallel side a = 1.5 and parallel side b = 7.5. Find the median (m).

    Answer & working

    4.5 units

    median m = (a + b)/2 = (1.5 + 7.5)/2 = 4.5

  3. A trapezoid has parallel side a = 5.5, parallel side b = 10.5 and height h = 10. Find the area (A).

    Answer & working

    80 units²

    A = ½(a + b)h = ½(5.5 + 10.5) · 10 = 80

  4. A trapezoid has parallel side a = 9.5 and parallel side b = 6.5. Find the median (m).

    Answer & working

    8 units

    median m = (a + b)/2 = (9.5 + 6.5)/2 = 8

  5. A trapezoid has parallel side a = 6.5, parallel side b = 1.5 and height h = 3.5. Find the area (A).

    Answer & working

    14 units²

    A = ½(a + b)h = ½(6.5 + 1.5) · 3.5 = 14

Answers are recomputed from the verified trapezoid function every time this page is built, and every printed line is checked to evaluate correctly. Content last reviewed August 2026. Found a mistake? Tell us — we correct and republish.

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