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