GeometryFormula

Rectangle Practice Problems

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

Formulas you need

  • Area: A=l⋅wA = l \cdot w
  • Perimeter: P=2(l+w)P = 2(l + w)
  • Diagonal: d=l2+w2d = \sqrt{l^2 + w^2}

where l = length, w = width, A = area, P = perimeter, d = diagonal

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Warm-up

  1. A rectangle has length l = 3 and width w = 4. Find the area (A).

    Answer & working

    12 units²

    A = l · w = 3 · 4 = 12

  2. A rectangle has length l = 4 and width w = 5. Find the perimeter (P).

    Answer & working

    18 units

    P = 2(l + w) = 2(4 + 5) = 18

  3. A rectangle has length l = 3 and width w = 3. Find the diagonal (d).

    Answer & working

    4.24 units

    d = √(l² + w²) = √(9 + 9) ≈ 4.24

  4. A rectangle has length l = 2 and width w = 3. Find the area (A).

    Answer & working

    6 units²

    A = l · w = 2 · 3 = 6

  5. A rectangle has length l = 4 and width w = 4. Find the perimeter (P).

    Answer & working

    16 units

    P = 2(l + w) = 2(4 + 4) = 16

Core practice

  1. A rectangle has length l = 12 and width w = 5. Find the area (A).

    Answer & working

    60 units²

    A = l · w = 12 · 5 = 60

  2. A rectangle has length l = 7 and width w = 2. Find the perimeter (P).

    Answer & working

    18 units

    P = 2(l + w) = 2(7 + 2) = 18

  3. A rectangle has length l = 2 and width w = 5. Find the diagonal (d).

    Answer & working

    5.39 units

    d = √(l² + w²) = √(4 + 25) ≈ 5.39

  4. A rectangle has length l = 3 and width w = 2. Find the area (A).

    Answer & working

    6 units²

    A = l · w = 3 · 2 = 6

  5. A rectangle has length l = 3 and width w = 3. Find the perimeter (P).

    Answer & working

    12 units

    P = 2(l + w) = 2(3 + 3) = 12

Stretch

  1. A rectangle has length l = 3.5 and width w = 11.5. Find the area (A).

    Answer & working

    40.25 units²

    A = l · w = 3.5 · 11.5 = 40.25

  2. A rectangle has length l = 12 and width w = 9.5. Find the perimeter (P).

    Answer & working

    43 units

    P = 2(l + w) = 2(12 + 9.5) = 43

  3. A rectangle has length l = 12 and width w = 9.5. Find the diagonal (d).

    Answer & working

    15.31 units

    d = √(l² + w²) = √(144 + 90.25) ≈ 15.31

  4. A rectangle has length l = 5.5 and width w = 2.5. Find the area (A).

    Answer & working

    13.75 units²

    A = l · w = 5.5 · 2.5 = 13.75

  5. A rectangle has length l = 3.5 and width w = 6.5. Find the perimeter (P).

    Answer & working

    20 units

    P = 2(l + w) = 2(3.5 + 6.5) = 20

Answers are recomputed from the verified rectangle 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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