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Geometry practice

Mixed Shapes Area and Perimeter Worksheets

Mix triangles, quadrilaterals and regular polygons on nine-question worksheets. Select 17 shape types, units and area or perimeter practice, with worked answers.

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Name each shape and find the requested measurements. Use the displayed dimensions, including approximate heights and apothems. Round final answers to two decimal places when needed.

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Choose the formula after naming the shape

Trace the outside boundary for perimeter. For area, use the displayed perpendicular height or apothem. Approximate displayed measurements are part of the problem.

Learning objective

What this activity builds

Choose the right area and perimeter formulas for a mixed set of shapes.

Worked example

A triangle has base 8 cm and perpendicular height 5 cm. A rectangle has sides 6 cm and 4 cm. Find both areas.

Triangle: 20 cm². Rectangle: 24 cm².

Use half the base times height for a triangle: 8 × 5 ÷ 2 = 20. For a rectangle, multiply its side lengths: 6 × 4 = 24.

Teaching notes

Make the practice count

  • Choose a formula from the type of shape before calculating.
  • A height or apothem is perpendicular to the corresponding side; it is not always an outside edge.
  • Whole dimensions keeps primary measurements whole where possible. Derived heights, sides and apothems may still be decimals.
  • Nine questions sample the selected types; selecting more than nine types does not put every type on each sheet.

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Choose your options, update the preview, then download the exact same pages.

Nine problems balance the selected triangles, quadrilaterals and regular polygons. Whole-number mode keeps primary dimensions whole where possible; derived sides, heights and apothems may remain decimal.

Worksheet settings

Shape types
Measurement units
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Math SheetNameScoreTeacherDateAll Shapes Area and PerimeterIdentify each shape and find the requested measurements. Use displayed approximate measurements, and round answers to two decimal places only when needed.1.s = 19.48 feet; a approximately 26.7604 feets = 19.48aType:Area:Perimeter:2.s = 4.59 yards; a approximately 3.1588 yardss = 4.59aType:Area:Perimeter:3.s = 12.49 inches; a approximately 10.8167 inchess = 12.49aType:Area:Perimeter:4.7 cm5.9 cmType:Area:Perimeter:5.11.1 mm10.32 mm8.23 mmhh = 7.3 mmType:Area:Perimeter:6.10.7 mm12.52 mm6.5 mmType:Area:Perimeter:Use linear units for perimeter and square units for area.math-sheet.comPage 1 of 2
Math SheetNameScoreTeacherDateAll Shapes Area and PerimeterIdentify each shape and find the requested measurements. Use displayed approximate measurements, and round answers to two decimal places only when needed.7.s = 4.55 feet; a approximately 5.4923 feets = 4.55aType:Area:Perimeter:8.6.9 ydType:Area:Perimeter:9.s = 13.27 inches; a approximately 13.7777 inchess = 13.27aType:Area:Perimeter:Use linear units for perimeter and square units for area.math-sheet.comPage 2 of 2

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