Area Formulae: Calculate and Construct
Find the areas of four diagrams, then construct two figures to meet a stated area.

- Pages
- 1
- File type
- Subject
- Geometry, Maths
- Resource types
- Worksheets, Worksheets & Printables
- England expectations
- Official curriculum expectation · Subject content — Geometry and measures
From the author
About this resource
Find the areas of four diagrams, then construct two figures to meet a stated area.
- A printed formula beside each featured shape type
- Four labelled diagrams for area calculation
- Two construction prompts based on given area values
Curriculum reference — England: Formula selection and construction must be assessed against actual shapes; no generic area badge. Trapezoid area requires Grade6 composite-area reasoning; supplied formula use covers only part of that expectation. The trapezium formula places the complete sheet at KS3; source letters rather than US shape names remain unchanged. Selected skills only; reference stage is not an overall reading age, complete curriculum coverage, or an automatic recommendation for every learner.
In the classroom
Teaching tips & learning objectives
Learning objectives
- Apply the correct formula to a dimensioned figure
- Calculate area from base, height, width, or parallel sides
- Design a shape that satisfies a specified area
Teaching tips
- Identify which measurements correspond to each variable before multiplying.
- Invite multiple valid drawings for the construction prompts and compare their dimensions.
Skills covered
- Area-formula substitution
- Geometric construction
- Dimension interpretation
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National Curriculum in England
National Curriculum in England expectations
England expectations
- Official curriculum expectation · Subject content — Geometry and measures — derive and apply formulae to calculate and solve problems involving: perimeter and area of triangles, parallelograms, trapezia, volume of cuboids (including cubes) and other prisms (including cylinders)
Core concepts
- Area formulas
- Given dimensions
- Equivalent areas
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