GeometryFormula

Square Practice Problems

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

Formulas you need

  • Area: A=s2A = s^2
  • Perimeter: P=4sP = 4s
  • Diagonal: d=s2d = s\sqrt{2}

where s = side length, A = area, P = perimeter, d = diagonal

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 square has side length s = 4. Find the area (A).

    Answer & working

    16 units²

    A = s² = 4² = 16

  2. A square has side length s = 3. Find the perimeter (P).

    Answer & working

    12 units

    P = 4s = 4 · 3 = 12

  3. A square has side length s = 1. Find the diagonal (d).

    Answer & working

    1.41 units

    d = s√2 = 1 · 1.4142 ≈ 1.41

  4. A square has side length s = 2. Find the area (A).

    Answer & working

    4 units²

    A = s² = 2² = 4

  5. A square has side length s = 5. Find the perimeter (P).

    Answer & working

    20 units

    P = 4s = 4 · 5 = 20

Core practice

  1. A square has side length s = 8. Find the area (A).

    Answer & working

    64 units²

    A = s² = 8² = 64

  2. A square has side length s = 6. Find the perimeter (P).

    Answer & working

    24 units

    P = 4s = 4 · 6 = 24

  3. A square has side length s = 8. Find the diagonal (d).

    Answer & working

    11.31 units

    d = s√2 = 8 · 1.4142 ≈ 11.31

  4. A square has side length s = 9. Find the area (A).

    Answer & working

    81 units²

    A = s² = 9² = 81

  5. A square has side length s = 9. Find the perimeter (P).

    Answer & working

    36 units

    P = 4s = 4 · 9 = 36

Stretch

  1. A square has side length s = 8.5. Find the area (A).

    Answer & working

    72.25 units²

    A = s² = 8.5² = 72.25

  2. A square has side length s = 5.5. Find the perimeter (P).

    Answer & working

    22 units

    P = 4s = 4 · 5.5 = 22

  3. A square has side length s = 2.5. Find the diagonal (d).

    Answer & working

    3.54 units

    d = s√2 = 2.5 · 1.4142 ≈ 3.54

  4. A square has side length s = 2.5. Find the area (A).

    Answer & working

    6.25 units²

    A = s² = 2.5² = 6.25

  5. A square has side length s = 6.5. Find the perimeter (P).

    Answer & working

    26 units

    P = 4s = 4 · 6.5 = 26

Answers are recomputed from the verified square 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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