Edexcel IGCSE Math A 4.9.C area of simple shapes

Practise area questions by selecting the correct formula, splitting compound shapes where helpful and keeping squared units consistent.

Exam points

Use area formulae for triangles, rectangles, parallelograms or trapezia.
Split compound shapes or grid shapes into simpler parts before calculating area.
Use area information to draw a rectangle or triangle with a required area.

[Maximum number: 6]

The diagram shows a quadrilateral ABCD

Figure for Question 4.9.C Areas of triangles and rectangles question 1 — Edexcel IGCSE Math A Higher

Diagram NOT accurately drawn

In the diagram, ABC and DAC are right-angled triangles.

B C=6 \mathrm{~cm} \quad A C=7.5 \mathrm{~cm}

The area of quadrilateral ABCD is $31.5 \mathrm{~cm}^{2}$
Work out the length of AD
cm

$AB=\sqrt{7.5^{2}-6^{2}}=4.5$ $\text{Area }ABC=\frac12\times6\times4.5=13.5$ $\text{Area }DAC=31.5-13.5=18$ $AD=\frac{18}{7.5}\div0.5=4.8$

Final answer:
4.8

Accept 4.78 to 4.81.

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4.9.C Areas of triangles and rectangles question 1