Shapes with the same areas can have different perimeters and vice versa

Maths

In this unit pupils will use knowledge of shape properties to draw, sketch and identify shapes  In the future unit pupils will explain how to calculate the area of a parallelogram and a triangle and describe the relationship between scale factors and side lengths of two shapesThey will describe positions in all four quadrants drawing and translating simple shapes and reflecting them in the axes

In the prior unit pupils compared the size of angles with a clear visual difference and use the terms acute obtuse and reflex when describing the size of angles or amount of rotation with relation to right angles using a unit called degrees In this unit pupils will use knowledge of shape properties to draw, sketch and identify shapes

Draw, compose and decompose shapes

Yes but it depends on the distance around them. 

Yes because all rectangles have the same perimeter.

No. If they are two different rectangles they must have a different perimeter. 

Is it possible for two different rectangles with the same area to have the same perimeter?

Yes, but it can't be the same type of shape, for example two rectangles.

Yes, depending on how the shapes are arranged.

No. If the perimeter is the same, the area must be the same. 

Is it possible for two different shapes with the same perimeter to have different areas?

Tick all of the statements that are true. Two different shapes:

What does the small 2 signify in units of measure such as cm²?

Two different shapes always have the same perimeter.

Two different shapes can have the same perimeter. 

Two different shapes cannot have the same perimeter.

Two different shapes may or may not have the same perimeter. 

What is the perimeter of this shape? Remember to use the correct unit of measure.

A rectangle has side lengths of 15 cm and 9 cm. Its area is {{ }} cm².

This lesson will be removed by end of Summer Term 2025.

Shapes with the same areas can have different perimeters and vice versa

Lesson outcome

This lesson will be removed by end of Summer Term 2025.