Part A — Area & Perimeter
Area is the space inside a shape, measured in square units. For a rectangle, area = length × width. Perimeter is the distance all the way around the edge.
1
Find the area of each rectangle above by counting squares or by multiplying length × width.
A: B: C: (square units)
2
Which rectangle has the largest area? Which two rectangles are congruent (identical, just turned)?
3
Find the perimeter of each rectangle.
A: B: C:
4
A rectangle has an area of 24 cm². Give two different pairs of whole-number side lengths it could have.
5
An L-shape is made from a 5 × 3 rectangle with a 2 × 2 square cut out of one corner. What is the area of the L-shape?
6
Reasoning. Can two rectangles have the same perimeter but different area? Give an example to prove your answer.
Part B — Properties of 2D Shapes
Shapes are classified by their sides, angles and symmetry. A polygon is a closed shape with straight sides; a quadrilateral has exactly four. The angles of any triangle always add to 180°.
1
Name the polygon with each number of sides: 3 , 4 , 5 , 6 , 8 .
2
How many lines of symmetry does each shape have? A square , a rectangle , an equilateral triangle .
3
Sort these quadrilaterals by the property given: square, rectangle, rhombus, parallelogram, trapezium.
(a) Has 4 equal sides:
(b) Has exactly one pair of parallel sides:
(c) Has 4 right angles:
4
True or false? “Every square is also a rectangle.” Explain your answer.
5
A triangle has angles of 90° and 35°. Find the third angle and classify the triangle.
6
Open challenge. Draw a quadrilateral that has exactly one line of symmetry. Name it.