GeometryFormula

Rhombus Practice Problems

15 rhombus 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 rhombus explorer, so the solutions cannot disagree with the formulas. Free, no account, nothing to install.

Formulas you need

  • Area: A=12d1d2A = \tfrac{1}{2} d_1 d_2
  • Side: s=(d1/2)2+(d2/2)2s = \sqrt{(d_1/2)^2 + (d_2/2)^2}
  • Perimeter: P=4sP = 4s

where d₁, d₂ = the two diagonals, s = side length, 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 rhombus has diagonal d₁ = 2 and diagonal d₂ = 1. Find the area (A).

    Answer & working

    1 units²

    A = ½ · d₁ · d₂ = ½ · 2 · 1 = 1

  2. A rhombus has diagonal d₁ = 3 and diagonal d₂ = 3. Find the side (s).

    Answer & working

    2.12 units

    side = √((d₁/2)² + (d₂/2)²) ≈ 2.12

  3. A rhombus has diagonal d₁ = 4 and diagonal d₂ = 6. Find the perimeter (P).

    Answer & working

    14.42 units

    P = 4 · side = 4 · 3.6056 ≈ 14.42

  4. A rhombus has diagonal d₁ = 2 and diagonal d₂ = 4. Find the area (A).

    Answer & working

    4 units²

    A = ½ · d₁ · d₂ = ½ · 2 · 4 = 4

  5. A rhombus has diagonal d₁ = 2 and diagonal d₂ = 5. Find the side (s).

    Answer & working

    2.69 units

    side = √((d₁/2)² + (d₂/2)²) ≈ 2.69

Core practice

  1. A rhombus has diagonal d₁ = 4 and diagonal d₂ = 2. Find the area (A).

    Answer & working

    4 units²

    A = ½ · d₁ · d₂ = ½ · 4 · 2 = 4

  2. A rhombus has diagonal d₁ = 10 and diagonal d₂ = 2. Find the side (s).

    Answer & working

    5.1 units

    side = √((d₁/2)² + (d₂/2)²) ≈ 5.1

  3. A rhombus has diagonal d₁ = 11 and diagonal d₂ = 9. Find the perimeter (P).

    Answer & working

    28.43 units

    P = 4 · side = 4 · 7.1063 ≈ 28.43

  4. A rhombus has diagonal d₁ = 1 and diagonal d₂ = 4. Find the area (A).

    Answer & working

    2 units²

    A = ½ · d₁ · d₂ = ½ · 1 · 4 = 2

  5. A rhombus has diagonal d₁ = 8 and diagonal d₂ = 7. Find the side (s).

    Answer & working

    5.32 units

    side = √((d₁/2)² + (d₂/2)²) ≈ 5.32

Stretch

  1. A rhombus has diagonal d₁ = 9.5 and diagonal d₂ = 5.5. Find the area (A).

    Answer & working

    26.13 units²

    A = ½ · d₁ · d₂ = ½ · 9.5 · 5.5 ≈ 26.13

  2. A rhombus has diagonal d₁ = 3.5 and diagonal d₂ = 9.5. Find the side (s).

    Answer & working

    5.06 units

    side = √((d₁/2)² + (d₂/2)²) ≈ 5.06

  3. A rhombus has diagonal d₁ = 1.5 and diagonal d₂ = 12. Find the perimeter (P).

    Answer & working

    24.19 units

    P = 4 · side = 4 · 6.0467 ≈ 24.19

  4. A rhombus has diagonal d₁ = 12 and diagonal d₂ = 9.5. Find the area (A).

    Answer & working

    57 units²

    A = ½ · d₁ · d₂ = ½ · 12 · 9.5 = 57

  5. A rhombus has diagonal d₁ = 6.5 and diagonal d₂ = 1.5. Find the side (s).

    Answer & working

    3.34 units

    side = √((d₁/2)² + (d₂/2)²) ≈ 3.34

Answers are recomputed from the verified rhombus 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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