Vertical Area & Perimeter Worksheets
Cover area and perimeter from concrete to abstract with nearly 30 free worksheets. Students begin determining area and perimeter with unit blocks, then calculate both for quadrilaterals, triangles, and circles, work backwards to find the length of a missing side, and solve area and perimeter word problems. Each worksheet is a printable PDF with a full answer key in multiple versions - no login or account needed - and most can be assigned online. Modified pages offer a lighter problem load, and the grading column with quick grade scale speeds up checking. These area and perimeter worksheets span 3rd through 7th grade geometry.
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.
Finding the Area of a Parallelogram
- Multiply a base by a height to find an area.
- Use the height rather than the slant side.
- Write an area in square units.
Rearranging a Parallelogram into a Rectangle
- See that cutting along the height and sliding makes a rectangle.
- Give the rectangle its base and height.
- Explain why the slant side is not in the formula.
Finding the Area of an L-Shaped Figure
- Cut an L-shaped figure into two rectangles.
- Work out a length that is not labelled.
- Add the areas of the pieces.
Finding the Area of a Trapezoid by Decomposing
- Cut a trapezoid into a rectangle and two triangles.
- Find the area of each piece and add them.
- See where the trapezoid formula comes from.
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.
Finding a Missing Measure of a Parallelogram
- Divide an area by a base to find a height.
- Divide an area by a height to find a base.
- Ignore a measurement that is not needed.