How They Work Together
With your kind teacher Mrs. Brenda β€οΈ
Today we explore the special relationship between perimeter and area!
Perimeter is the distance around the outside.
Area is the space inside.
They are different, but they work together in interesting ways!
Among all shapes with the same perimeter, the square has the biggest area!
10 m Γ 2 m
Perimeter = 24 m
Area = 20 mΒ²
6 m Γ 6 m
Perimeter = 24 m
Area = 36 mΒ²
11 m Γ 1 m
Perimeter = 24 m
Area = 11 mΒ²
Question 1
Which rectangle with perimeter 20 m has the biggest area?
Question 2
A rectangle has perimeter 28 m. If length is 10 m, what is the width and area?
Question 3
If you make a shape longer and skinnier (same perimeter), what happens to the area?
β’ Choosing the biggest garden for the same amount of fencing
β’ Buying the right amount of carpet or grass
β’ Designing rooms to feel bigger with the same wall length
β’ Planning animal pens on a farm
Amazing work! You now know that for the same perimeter, a square gives the most area.
Keep exploring shapes around you β measure their perimeter and area!
Love and proud high-fives,
Mrs. Brenda β€οΈ