Area, Perimeter, and Volume Created by Barbara Fugitt Texarkana ISD

Area, Perimeter, and Area, Perimeter, and VolumeVolume

Area, Perimeter, and Area, Perimeter, and VolumeVolume

Created by Barbara FugittCreated by Barbara FugittTexarkana ISDTexarkana ISD

Perimeter of a Rectangle

• The perimeter is the distance around a figure.

• The formulas are:P = 2L + 2WP = 2 (L + W)

• Measured in single units.

15 in.

8 in.

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.

9 in.

P = 4s

P = 4(9in.) or 4 x 9 in.

P = 36 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.

5 inches

5 inches 5 inches

P = A + B + C

P = 5 in. + 5 in. + 5 in.

P = 15 in.

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.

14 in.

9 in.A = L x W

A = 14 in. x 9 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 = s x s

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.

5 in.

4 in.

A =½bh A = ½(5 in. x 4 in.)A = ½ (20 sq. in.)A = 10 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.

2 in.

5 in. V = L x W x H

V = 5 in. x 2 in. x 5 in.

V = 10 sq. in. x 5 in.

V = 50 cubic in.

You try some

• What is the perimeter of the following shape?

6 cm.

4 cm.P = 20 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?

10 cm

8 cm 8 cm5 cm

A = 25 sq. cm.

What is the area of the figure?

25 ft.

10 ft

A = 250 sq. ft.

What is the perimeter of the following figure?

15 yards

10 yards

8 yards

P = 33 yards

What is the volume of the following figure?

10 m.

3 m.

8 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