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Area Formulae: Calculate and Construct

Find the areas of four diagrams, then construct two figures to meet a stated area.
Pages
1
File type
PDF

Updated Jul 25, 2021

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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