## NRICH PROBLEM SOLVING AREA AND PERIMETER

How can you change the perimeter but keep the area the same? Another one of my students gave the answer a 4 by 4 square. This problem offers the opportunity to practise calculating areas of circles and fractions of a circle in the context of an optimisation task. Numerically Equal Age 7 to 11 Challenge Level: What happens if you take an ‘edge square’ off a shape? Perimeter Challenge Age 11 to 14 Challenge Level: What can you say about these shapes?

Could you use it to estimate the area of a shape? What are the dimensions of the rectangle? What do you notice about the areas of the different sections? Thomas also sent us shapes that have the same area but different perimeters: Home Blog Useful Websites. Can you help William to work out its area?

Place four pebbles on the sand in the form of a square.

These resources are designed to encourage you to explore perimeter, area and volume of shapes and solids based on rectangles nrlch triangles.

I would encourage teachers to visit the nrich website when planning lessons and look through the excellent resources that are on that website: Shaping It Age 5 to 11 Challenge Level: Investigate how the four L-shapes fit together to make an enlarged L-shape.

## Perimeter and Area

Can you find out where the rectangle is? In which of the four examples is the shaded area greatest?

How can you change the volume but keep the surface area the same? From there I drew a square on the board and showed that a square is in fact a special type of rectangle therefore the answer was indeed valid.

Are these statements always true, sometimes true or never true? What are the possible areas of triangles drawn in a square? Thomas from Colet Court drew a shape in which the area is numerically twice the perimeter: Brush Loads Age 7 to 11 Challenge Level: What is the largest ‘ribbon square’ you can make?

Torn Shapes Age 7 to 11 Challenge Level: Register for our mailing list. This is a brilliant pefimeter to challenge the misconception that so many year 7s posses.

# Perimeter and Area :

Shaping It Age 5 to 11 Challenge Level: An activity for high-attaining learners which involves making a new cylinder from a cardboard tube. Perimeter and Area This selection of problems is a great starting point for learning about Perimeter and Area. This problem combines both area and perimeter by inviting students to consider the different possibilities for the perimeter when the area of a rectangle is fixed.

Leave a Comment Cancel reply. Can you draw a square in which the perimeter is numerically equal to the area?

Use a single sheet of A4 paper and make a cylinder having the greatest nruch volume. I cut this square into two different shapes. Different Sizes Age 5 to 11 Challenge Level: Can you deduce the perimeters of the shapes from the information given?

# Measuring and calculating with units :: Area – squares and rectangles :

Area and Perimeter What can you say about these two soolving Can you find a way to do it? Once the comments had been made I challenged one of the students: When these students were confident that they could use a decimal they were soon on their way. In this problem students consider the relationship between them. Efficient Cutting Age 11 to 14 Challenge Level: Working on this problem will give students a deeper understanding of area and perimeter, and how they change as a shape is altered.

Can you deduce the perimeters of the shapes from the information given?