Blocks (Whole)
- Count square units to find the area of a shape made from full blocks.
- Read a tiled grid and keep track of units so the answer is in square units.
Area & Perimeter Worksheets
Free area & perimeter worksheets with answer key. No login or account needed. From finding the area or perimeter visually to using math we've got you covered. A grading column and quick grade scale maker grading a breeze and a modified pages help with lower level learners or when just introducing a topic. Great for teachers or for homeschool.
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About these worksheets
Students learn to find the area of shapes using grid-based counting methods. Worksheets progress from counting full blocks to working with partial blocks, then move to using rows and columns for rectangular areas. Activities also include finding area by tiling, continuing area patterns, and calculating the area of right triangles on a grid. These resources align with third through sixth grade standards and help students transition from counting to using area formulas.
Blocks (Partial)
- Find the area of a shape by counting square units on a grid.
- Add up full and partial blocks to get the total area of a figure.
Finding Area
- Find the area of a rectangle by counting square units in a grid.
- Use rows and columns to figure out area without counting every square one by one.
- Write the area using the correct square units (square units).
- Connect area to multiplication by using length × width for rectangles.
Finding Area
- Find the area of a rectangle by multiplying its length and width.
- Use the correct square units (like cm² or m²) when writing an area answer.
Finding Area by Tiling
- Cover a rectangle with equal-size square tiles without gaps or overlaps.
- Count the tiles to find the area in square units.
- Use rows and columns to keep track of tiles and avoid miscounting.
- Explain that area means how much flat space a shape covers.
Finding the Area of Right Triangles with a Grid
- Use the grid to count square units and find the base and height of a right triangle.
- Use the area formula for a right triangle (area = 1/2 × base × height).
- Make sure the base and height you choose are perpendicular sides of the right triangle.
About these worksheets
These worksheets help students find the perimeter of shapes by counting the unit segments along the outside edge of a figure. Using grid-based visuals, students practice identifying and adding the outer edges to calculate perimeter. This hands-on approach builds understanding before students move on to using perimeter formulas with given measurements.
Perimeter Blocks
- Find the perimeter by counting the unit blocks around the outside of a shape.
- Use units correctly by counting each block edge as 1 unit of distance.
- Handle shapes made from rectangles or block shapes that have corners and indentations.
About these worksheets
These worksheets cover a comprehensive range of quadrilateral measurement skills. Students find the area and perimeter of rectangles, explore rectilinear shapes by decomposing them into smaller rectangles, create rectangles with given area or perimeter constraints, and work with scale factors. Problem sets include whole numbers, decimals, and fractions, and span third through seventh grade standards.
Rectilinear Area
- Find the area of an L-shaped or step-shaped figure by breaking it into rectangles.
- Add the areas of the smaller rectangles to get the total area of the whole shape.
- Label area using square metric units (like square centimeters or square meters).
Creating Area and Perimeter Rectangles
- Find different length-and-width pairs that make a rectangle with a given area.
- Find different rectangles that have a given perimeter by choosing side lengths that add up correctly.
- Tell the difference between area (square units inside) and perimeter (units around the edge).
- Use multiplication and addition to check that a rectangle’s dimensions match the area or perimeter given.
Rectangles - Same Area & Different Perimeter
- Find the area of a rectangle by multiplying length × width.
- Find the perimeter of a rectangle by adding all the side lengths.
- Use factor pairs to make different rectangles that still have the same area.
- Compare rectangles to see how changing the side lengths can change the perimeter even when the area stays the same.
Rectangles - Same Perimeter & Different Area
- Find the area of a rectangle by multiplying length × width.
- Find the perimeter of a rectangle by adding all the side lengths.
- Create different rectangles that have the same area by using different factor pairs.
- Compare rectangles to see how changing the side lengths can change the perimeter even when the area stays the same.
Quadrilaterals (Area and Perimeter)
- Find the area of a rectangle by using its length and width.
- Find the perimeter of a rectangle by adding the lengths of all four sides.
- Tell the difference between area (square units) and perimeter (units around the edge).
Finding Width, Height and Area of Scale Rectangles
- Use a scale factor to find a missing width or height of a rectangle.
- Keep side lengths in the same ratio when a rectangle is enlarged or reduced.
- Calculate the area of a rectangle after its dimensions have been scaled.
About these worksheets
Students practice finding the area of triangles using the formula base times height divided by two. Each worksheet provides the base and height measurements, helping students identify the correct dimensions and apply the formula accurately. These worksheets are designed for sixth grade geometry.
Area of Triangles (base and height)
- Use the triangle area formula (base × height ÷ 2) to find area.
- Identify which measurements are the base and the matching height in a triangle diagram.
- Multiply the base and height and then divide by 2 accurately.
- Write the final area using square units.
About these worksheets
These worksheets cover the essential circle measurement formulas. Students practice finding the area using A = πr², the circumference using C = πd or C = 2πr, and solving for both in combined problem sets. Activities include working with radius and diameter values and applying pi in calculations. Aligned with seventh grade geometry standards.
Area and Circumference Circle
- Use the radius or diameter to find a circle’s circumference.
- Use the radius to find a circle’s area.
- Work with pi (π) in formulas, including using an approximate value like 3.14.
- Round decimal answers to the requested place value and include the correct units.
Area of Circle
- Practice finding the area of a circle using the formula A = πr²
- Figure out the radius by dividing the given diameter in half before calculating
- Round the area to the nearest tenth
About these worksheets
Students practice finding a missing side length of a rectangle or right triangle when given the area or perimeter. These worksheets reinforce the relationship between side lengths, area, and perimeter through reverse calculation — dividing area by a known side or subtracting known sides from a total perimeter. Problem sets span third grade through middle school, with some including decimal values.
Missing Side (Area) E
- Use the area of a rectangle to figure out a missing side length.
- Divide the area by the known side to find the unknown side.
- Check that the side lengths you found make the correct area when multiplied.
Missing Side (Perimeter) E
- Use the perimeter of a rectangle to figure out one missing side length.
- Add the known side lengths and subtract from the total perimeter to find what is left.
- Use the fact that opposite sides of a rectangle are equal to solve for the unknown side.
- Write the answer with the correct measurement units.
About these worksheets
These worksheets present area and perimeter concepts through word problems and three-dimensional shapes. Students read real-world scenarios to determine whether they need to calculate area or perimeter of rectangles, and they find the surface area of prisms and other 3D figures by adding up the areas of each face. Aligned with fourth and sixth grade standards.
Perimeter - Area (Words)
- Read a word problem and decide whether it is asking for perimeter or area.
- Find the perimeter of rectangles by adding side lengths.
- Find the area of rectangles using length × width and square units.
- Use the correct units when writing answers (units for perimeter and square units for area).
- Solve real-world measurement situations like fencing, borders, tiling, or covering a surface.
Finding Surface Area
- Find the surface area of a 3D shape by adding up the areas of all its faces.
- Use a net or picture of a prism to count faces and match the right measurements to each face.
- Calculate the area of rectangles and triangles to get the area of each face.