Calculating the area of a shape involves multiplying two perpendicular lengths. These may not be horizontal and vertical in the shape's initial orientation.

Keywords

Area - The area is the size of the surface and states the number of unit squares needed to completely cover that surface.
Trapezium - A trapezium is a quadrilateral with exactly one pair of parallel opposite sides. The plural of trapezium can be referred to as trapezia or trapeziums.

The third learning cycle in this lesson aims to provide extra challenge for pupils who have a good understanding of finding the areas of basic shapes. Pupils will need to use Pythagoras' theorem and trigonometry to solve these problems.

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Starter quiz

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6 Questions

Q1.

The __________ is the size of the surface and states the number of unit squares needed to completely cover that surface.

angle

Correct answer: area

mass

perimeter

volume

Q2.

Which are units of area?

Correct answer: cm²

cm³

Correct answer: square feet

litres

Q3.

The area of a rectangle with base 5 cm and a height of 3 cm is cm².

Correct Answer: 15, fifteen

Q4.

The perimeter of a rectangle with base 5 cm and a height of 3 cm is cm.

Correct Answer: 16, sixteen

Q5.

The perimeter of the rectangle is m.

Correct Answer: 14, fourteen

Q6.

The area of the rectangle is m².

Correct Answer: 12, twelve

Exit quiz

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6 Questions

Q1.

A is a quadrilateral with exactly one pair of parallel opposite sides.

Correct Answer: trapezium, trapezia, trapezoid

Q2.

Match each shape to the formula for its area.

Correct Answer:parallelogram,$$A = bh$$

$$A = bh$$

Correct Answer:trapezium,$$A = \frac{1}{2} \times (a + b)h$$

$$A = \frac{1}{2} \times (a + b)h$$

Correct Answer:triangle,$$A = \frac{1}{2} bh$$

$$A = \frac{1}{2} bh$$

Q3.

The area of the parallelogram is cm².

Correct Answer: 60, sixty

Q4.

Which calculation would find the area of this triangle?

$$6 \times 6$$

$$6 \times 8$$

Correct answer: $$\frac{1}{2} \times 6 \times 6$$

$$\frac{1}{2} \times 6 \times 8$$

Q5.

The area of the shape is units².

Correct Answer: 36, thirty six

Q6.

PQR is a right-angled triangle. Work out the area of the triangle..

24 cm²

Correct answer: 216 cm²

270 cm²

432 cm²

540 cm²