An equation is used to show two expressions that are equal to each other.

The perimeter is the distance around a 2D shape.

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

Equations from complex 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

Given that the perimeter of this rectangle is 76 cm, then $$x=$${{}}.

Which of these equations are true for this square?

The perimeter of this isosceles triangle is 53 cm. The length of the unmarked edge is {{ }} cm.

Given that this is a parallelogram, complete the equation: $$5x-9=$$___________. 

Given that these two shapes have equal areas, then $$x=$${{ }}.

The area of this rectangle is 48 square centimetres. The perimeter is {{ }} cm.

The solution to $$6(2m-7)=42$$ is $$m=$${{ }}.

The solution to $$6y-5=2y+25$$ is $$y=$${{ }}.

The solution to $$8x+9=28-2x$$ is $$x=$${{ }}.

The solution to $$\frac{5t+12}{3}=9$$ is $$t=$${{ }}.

The solution to $$6(5d+2)=3(9d-1)$$ is $$d=$${{ }}.

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