Area and perimeter

1 Usethewordstocompletethesentences.

area around

cm2perimeter cm m

m2 inside

istheamountofspace a

two-dimensionalshape.Itcanbemeasuredinunitssuchas

or

isthedistance atwo-dimensional

shape.Itcanbemeasuredinunitssuchas or

2 Workouttheareasandperimetersoftheshapes.

a) b) 6cm

4cm

perimeter= cm perimeter= cm

area= cm2 area= cm2

3 Workoutthemissingvalues.

a)

8cm

cm

area=32cm2

perimeter= cm

b)

8cm

cm

area= cm2

perimeter=40cm

c)

area= m2

perimeter=36mm

4 Workouttheareasandperimetersoftheshapes.

ShapeA ShapeB

area= cm2 area= cm2

perimeter= cm perimeter= cm

Whatdoyounotice?

©WhiteRoseMaths2019

6cm

4cm

2cm

2cm

5

Whodoyouagreewith?

Drawsomeexamplestosupportyouranswer.

©WhiteRoseMaths2019

6 Tworectilinearshapes,AandB,eachhaveanareaof12squares.

• ShapeAhasthelargestperimeterpossible.

• ShapeBhasthesmallestperimeterpossible.

DrawshapesAandB.

Whatdoyounotice?

7 MrJoneshas50moffencing.

Hewantstomakearectilinearenclosureusingallthefencing.

a) Drawanexampleofashapehecouldmake.Giveunitson

yourdiagram.

b) Whatisthegreatestpossibleareaoftheenclosure?

c) Whatisthesmallestpossibleareaoftheenclosure?

If you start with a rectilinear shape, when you increase

the area, the perimeter will increase.

TommyIt depends on

the shape.

Amir

1cm

1cm

1cm

1cm