Middle School Review

Measurement Review
AREA and PERIMETER
Rectangles, Triangles, Circles 
Perimeter
The perimeter of a shape is the distance
around the outside.
Rectangles
15 m
Length
5m
Width
5m
15 m
Perimeter =
15 m
+ 5 m + 15 m
+ 5 m = 40 m
Remember: The
perimeter of a
shape is a
measure of
distance around
the outside.
Units of distance
mm
AREA
1 cm
1 cm
1 cm 1 cm2
Area is measured in units2
6 cm
cm
The area of a
shape is a
measure of the
surface/space
contained within
its perimeter.
Units of area
mm2
cm2
m
m2
km
km2
inches
3
cm
18 cm2
inches2
feet
feet2
yards
yards2
miles
miles2
Area = 6 cm x 3 cm = 18 cm2
Find the perimeter and area of each rectangular shape below.
1
100 m
2
50 m
300 m, 5000m2
3
90 feet
280 ft
40 m
4500 ft2
4
120 m
320 m, 4800m2
Not to scale.
50 feet
5
600 cm,
18900cm2
8½ cm
5½ cm
90 cm
28 cm
210 cm
46.75cm2
Perimeter of Compound Shapes
4m
Diagrams
Not to
scale
?1m ?
3m
4m
3m
4m
?
Perimeter =
4m+ 4m+
3m
7m+
3m +
3m +
Area = 4 x 4 + 3 x 3 = 16 + 9 = 25 m2
1m +
= 22m
Area of a Triangle
The area of a triangle = ½ the area of the surrounding
rectangle/parallelogram
height
base
rectangle area = 2 + 2
triangle area = ½ rectangle area
Area of a triangle = ½ base x height
Find the area of the following triangles.
Area = ½ b x h
12 cm
9 cm
16 cm
8 cm
10 cm
Area = ½ x 8 x 9
= 60 cm2
= 36 cm2
4.5 m
Area = ½ x 10 x 12
14 cm
Area = ½ x 14 x 16
= 112 cm2
Area = ½ x 3.2 x 4.5
= 7.2 m2
3.2 m
Area = ½ x 7 x 5
= 17.5 mm2
The Circumference of a Circle
Find the circumference of the following circles.
1
2
8 cm
9.5 cm
C = d
C=  x 8
C = 25.1 cm (1 dp)
C = d
C=  x 9.5
C = 29.8 cm (1 dp)
C = d
C = 2r
The Circumference of a Circle
C = d
Find the circumference of the following circles.
C = 2r
4
3
3 mm
2.1 m
C = 2r
C = 2r
C=2xx3
C = 2 x  x 2.1
C = 18.8 mm (1 dp)
C = 13.2 m (1 dp)
The Area of a Circle
A = r2
Find the area of the following circles.
1
2
8 cm
9.5 cm
A = r2
A =  x 82
A = 201.1 cm2 (1 dp)
A = r2
A =  x 9.52
A = 283.5 cm2 (1 dp)
The Area of a Circle
Find the area of the following circles.
3
4
6 mm
2.4 m
A = r2
A =  x 32
A = 28.3 mm2 (1 dp)
A = r2
A =  x 1.22
A = 4.5 m2 (1 dp)
A = r2