Area, Perimeter, and
Volume
Created by Barbara Fugitt
Texarkana ISD
Perimeter of a Rectangle
• The perimeter is the distance around
a figure.
• The formulas are:
P = 2L + 2W
15 in.
P = 2 (L + W)
• Measured in single
8 in.
units.
P = 2(8 in.) + 2(15 in.)
P = 2 (8 in. + 15 in.)
P = 16in. + 30 in.
P = 2 (23 in.)
P = 46 in.
P = 46 in.
Perimeter of a Square
• The perimeter is the distance around
a figure.
• The formula is:
P = 4s
• Measured in single
units.
P = 4s
P = 4(9in.) or 4 x 9 in.
P = 36 in.
9 in.
Perimeter of a Triangle
• The perimeter is the distance around
a figure.
• Add up all three sides. P = A + B + C
• Measured in single
units.
P=A+B+C
5 inches
5 inches
P = 5 in. + 5 in. + 5 in.
P = 15 in.
5 inches
Area of a Rectangle
• The number of square units needed
to cover the surface of a figure.
• The formula is: A = L x W
• Area is measured in square units.
9 in.
A=LxW
A = 14 in. x 9 in.
14 in.
A = 126 square in.
Area of a Square
• The number of square units needed
to cover the surface of a figure.
• The formula is: A = s² or A = s x s
• Area is measured in square units.
6 in.
A = s²
A=sxs
A = 6 in.²
A = 6 in. x 6 in.
A = 36 sq. in.A = 36 sq. in.
Area of a Triangle
• The number of square units needed
to cover the surface of a figure.
• The formula is: A =½bh or A = bh
2
• Area is measured in square units.
5 in.
5 in.
4 in.
5 in.
A =½bh
A = ½(5 in.
x 4 in.)
A = ½ (20
sq. in.)
Volume
• The volume is the amount of space
occupied by a three-dimensional
object.
• The formula is V = L x W x H
• Volume is measured in cubic units.
5 in.
V=LxWxH
V = 5 in. x 2 in. x 5 in.
2 in.
5 in.
V = 10 sq. in. x 5 in.
V = 50 cubic in.
You try some
• What is the perimeter of the
following shape?
P = 20 cm.
4 cm.
6 cm.
What formula do you use to
find the area of the
following figure? What
units do you use?
Formula: A = L x W
Units: square units
What formula do you use to
find the perimeter of the
following figure? What
units do you use?
Formula: P = 2(L +
W) or 2L + 2W
Units = single units
What formula do you use to
find the perimeter of the
following figure? What
units do you use?
Formula: Add up
all the sides
Units: single units
What formula do you use to
find the area of the
following figure? What
units do you use?
Formula: ½ bh or bh
2
Units: square units
What formula do you use to
find the area of the
following figure? What
units do you use?
Formula: A = s²
Units: square units
What formula do you use to
find the perimeter of the
following figure? What
units do you use?
Formula: P = 4s
Units: single units
What formula do you use to
find the volume of the
following figure? What
units do you use?
Formula: V = L x W x H
Units: cubic units
What is the area of the
following shape?
8 cm
5 cm
8 cm
10 cm
A = 25 sq. cm.
What is the area of the
figure?
10 ft
25 ft.
A = 250 sq. ft.
What is the perimeter of
the following figure?
15 yards
8 yards
10 yards
P = 33 yards
What is the volume of
the following figure?
8 m.
3 m.
10 m.
V = 240 cubic meters
What is the area of the
square?
9 cm
A = 81 square cm
What is the perimeter of
the square?
10 cm
P = 40 cm
What is the volume of
the figure?
5 in.
5 in.
5 in.
V = 125 cubic inches