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

A compound shape is a shape created using two or more basic shapes.

A composite shape is an alternative for a compound shape.

Problem solving with 2D shapes

Maths

In this unit, pupils built upon their prior learning of the area of different shapes. In the future unit, pupils will continue to further develop their understanding of shapes by considering surface area and volume of pyramids, spheres and cones.

In the prior unit, pupils derived the formula for the circumference and area of a circle. In this unit, this knowledge is combined with knowledge of fractions to find the arc length and area of a sector.

2D and 3D shape: compound shapes

The length of the square is 20 cm. Calculate the area of the shaded region, give your answer correct to 1 decimal place. 

The radius of the circle is 20 cm. Which calculation can be used to find the area of the shaded region?

The compound rectilinear shape is constructed by joining two congruent rectangles. The total area is 90 m². The area of each congruent rectangle is {{ }} m².

The perimeter of the square is 40 cm. The area of the shaded region is {{ }} cm² (to 1 decimal place).

The compound rectilinear shape is constructed by joining two congruent rectangles. The total area is 120 cm² and $$a$$ = 10. Calculate the length of the longest side.

The compound rectilinear shape is constructed by joining two congruent rectangles. The total area is 80 cm² and $$a$$ = 8. The perimeter of the shape is {{}} cm. 

A carpet costs £30 per m². 8.5 m² of carpet costs £{{ }}.

A {{}} shape is a shape created using two or more basic shapes.

A rectangle has a base of 8 cm and an area of 40 cm². The height of the rectangle is {{ }} cm.

A circle has a diameter of 9 cm. What is its area (to 1 decimal place)?

Which calculations would find the perimeter of the compound rectilinear shape?

The area of the compound rectilinear shape is {{}} cm².

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