Topic summary · Foundation · CIE Core

Area summary

Area questions mix rectangles, triangles, parallelograms, trapeziums and compound shapes. Keep units consistent and show how you split a compound region.

Open Learning Sheet — Area Download Area answers PDF

Files: foundation-4 Area handout.pdf · foundation-4 Area handout answers.pdf · free public downloads · diagrams in the PDFs

Key learning points

Rectangle $lw$ ; triangle $\tfrac12 bh$ ; parallelogram $bh$ ; trapezium $\tfrac12(a+b)h$ .
Compound shapes: split into known pieces or subtract a cut-out.
Convert mixed units before multiplying (cm vs m).

Worked example 1 — Triangle

Base $10$ , height $6$ . Area?

Working

A=\tfrac{1}{2}\times10\times6=30

Half base times height.

Worked example 2 — Trapezium

Parallel sides $5$ and $9$ , height $4$ . Area?

Working

A=\tfrac{1}{2}(5+9)\times4=28

Average of parallels × height.

Worked example 3 — Compound shape

Rectangle $8\times5$ remove $3\times2$ . Area?

Working

40-6=34

Add or subtract known areas.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.

Open Learning Sheet Answers PDF

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