About Free Printable Area and Perimeter Worksheets
Free printable area and perimeter worksheets for Grades 3-4. Count unit squares on a grid to find the area and perimeter of rectangles. Answer key, seed-based regeneration. No signup.
How to use
- Choose what to find. Area & Perimeter (both) builds the contrast between the two; Area only or Perimeter only let you focus on one skill at a time when it's first introduced.
- Pick the rectangle size. Small (2-5 units) is best for first lessons where students count every square; Medium and Large give bigger numbers that nudge students toward the length × width shortcut.
- Set the unit label — generic units, or cm / m / ft to connect to real measurement. Each grid square equals one unit.
- Choose how many pages (1-3). Each page holds 6 figures; 2 pages gives 12 and 3 gives 18 — always divided evenly with a clean page break, never a figure split across pages. Use the seed to reproduce or share an exact worksheet, or click 🔄 New Problems for a fresh set.
- Click Print Problems for the student sheet or Print Answer Key for grading. Save as PDF from the print dialog if you prefer.
Frequently asked questions
What grade is area and perimeter?
Area on a grid (counting unit squares) and relating area to multiplication are Grade 3 standards (CCSS 3.MD.C.5, 3.MD.C.6, 3.MD.C.7). Perimeter of polygons is also Grade 3 (CCSS 3.MD.D.8). Grade 4 extends both to formula-based problems with larger numbers and missing-side problems (4.MD.A.3). This worksheet's grid-counting approach is ideal for the Grade 3 introduction and works as review in Grade 4.
Should students count squares or use the formula?
Count first, then formalise. The standards (3.MD.C.6) deliberately define area as the number of unit squares that cover a shape — counting builds the concept. Once students reliably count, show them that the squares sit in equal rows, so counting is the same as multiplying rows by columns (3.MD.C.7). The 'aha' that 5 rows of 4 = 5 x 4 = 20 squares is what makes the length × width formula meaningful. Use the small rectangle size for the counting stage and larger sizes once the formula clicks.
Can two rectangles have the same area but different perimeters?
Yes — and it's one of the best discussion questions for this topic. A 2-by-6 rectangle and a 3-by-4 rectangle both have an area of 12 square units, but the 2-by-6 has a perimeter of 16 units while the 3-by-4 has a perimeter of 14 units. Long, thin shapes have more edge for the same area. Asking students to find two figures on their worksheet with the same area (or the same perimeter) turns a routine sheet into a reasoning task.
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