Area summary

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

Half base times height.

Worked example 2 — Trapezium

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

Working

Average of parallels × height.

Worked example 3 — Compound shape

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

Working

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.