New
New
Year 5

# Calculate the area of compound rectilinear shapes

I can calculate the area of compound rectilinear shapes.

New
New
Year 5

# Calculate the area of compound rectilinear shapes

I can calculate the area of compound rectilinear shapes.

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## Lesson details

### Key learning points

1. Use addition and subtraction to calculate missing side lengths in compound rectilinear shapes.
2. Identify two different lengths which total another side length in a compound rectilinear shape.
3. Use knowledge of the area of a rectangle to calculate the area of shapes made from two rectangles.

### Common misconception

Calculating the length of a side when the overall dimension and part dimensions are known and understanding when a part of the overall dimension is needed to calculate part of the area.

Look at shapes with missing dimensions and discussing that the overall length and width of a compound rectilinear shape is the total of the shorter side lengths in a particular direction. This allows missing or overall dimensions to be calculated.

### Keywords

• Compound - A shape made up of two or more other shapes is known as compound.

• Rectilinear - A shape where all angles composed of right angles is called a rectilinear shape.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Starter quiz

### 6 Questions

Q1.
Match the start and end of the sentences to describe the shapes correctly.
Correct Answer:A shape with all right angles,is a rectilinear shape.

is a rectilinear shape.

Correct Answer:A shape made of two or more shapes,is a compound shape.

is a compound shape.

Q2.
The area of a compound shape made of two rectangles can be calculated by the area of each rectangle.
dividing
multiplying
Q3.
What is the total area of this compound rectilinear shape? m².
Correct Answer: 70, 70 m², 70 square metres, 70 metres squared
Q4.
Which times table fact is needed to calculate the missing area in this rectilinear shape?
13 m x 8 m
Correct answer: 10 m x 8 m
8 m x 3 m
Q5.
Which multiplications are needed to calculate the area of the shape?
7 × 5
2 × 5
Q6.
Calculate the area of this rectilinear shape? cm²
Correct Answer: 64, 64 cm², 64 centimetres squared, 64 square centimetres

## Exit quiz

### 6 Questions

Q1.
Match the parts of the sentences correctly.
Correct Answer:A rectangle,has four right angles.

has four right angles.

is made up of two or more shapes.

Correct Answer:A rectilinear shape,has angles that are all right angles.

has angles that are all right angles.

Correct Answer:A compound rectilinear shape,is made up of two or more rectangles.

is made up of two or more rectangles.

Q2.
We can calculate the area of compound rectilinear shapes by splitting it into .
Q3.
Look at this compound rectilinear shape. Which statements are true?
Correct answer: c + d = 9 cm
side a is 9 cm
Correct answer: 12 cm = b + a
I don't know the lengths of sides a and b
Q4.
Look at this shape. The total length of sides a and d is cm.