From squares to formulas
Start in Grade 4 by counting squares and square sides, move on to rectangles, triangles and parallelograms with base and height, and reach regular polygons and the apothem in Grade 7.
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Teaching Guide: Area and Perimeter from Grade 4 to Grade 8
Area and perimeter are where geometry turns into measurement: counting squares, seeing why a triangle is half a rectangle and why a circle needs π. This free area and perimeter worksheet generator draws every shape to scale with its measurements, always consistent, and builds an answer key with the formula and every step.
Student worksheet 
Answer key Circles
Circumference and area from the radius or the diameter, semicircles, quarter circles, sectors and rings, always with π = 3.14 so that the answers come out exactly.
Composite and shaded shapes
L and T shapes to split into rectangles, houses, running tracks and shaded areas (a square minus a circle, a frame…), with the split drawn in the answer key.
Estimating the area of a lake
PISA’s geometric approximation: irregular shapes on a grid or a map with a scale. Pupils count whole and part squares, and the answer key marks them and gives the range for the real area.
Finding the missing side
Working backwards: the height from the area, the side of a square from its perimeter or the radius from the circumference. Great for understanding the formulas, not just using them.
Consistent measurements and answer key
Heights and slanted sides come from Pythagorean triples, so every shape could really exist. The answer key shows the formula, the substitution and the answer with its units.
Frequently Asked Questions about Area and Perimeter Worksheets
What is the difference between area and perimeter?
The perimeter is the distance around the edge of a shape (measured in cm, m…) and the area is the space it covers (in cm², m²…). A 5 cm by 3 cm rectangle has a perimeter of 16 cm and an area of 15 cm².
Are the shapes drawn to scale?
Yes. Each shape is drawn in proportion to its measurements and the measurements always agree: the height and slanted sides of a triangle come from Pythagorean triples (like 5, 12 and 13), so the shape really exists.
Why is π taken as 3.14?
It is the value used in class and it keeps the answers exact, with at most two decimal places. Radii and sector angles are chosen so the working stays short.
How do you estimate the area of an irregular shape?
Count the whole squares inside the shape and the part squares along its edge, and count each part square as half: area ≈ whole + part ÷ 2. The real area is always between the number of whole squares and the total. On a map, multiply by the area of one square.
Can I mix area with other exercises on one worksheet?
Yes. Add exercises of several types and levels, or from other generators such as metric units, and they all share the worksheet and the answer key. Save it under Templates to use it again.
Is any student data sent to a server?
No. Every worksheet is created in your browser and no student data is stored. Templates are kept in your browser’s memory.
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