**6.G.1 Find the area of right**

triangles, other triangles, special

quadrilaterals, and polygons by

composing into rectangles or

decomposing into triangles and other

shapes; apply these techniques in the

context of solving real-world and

mathematical problems.

triangles, other triangles, special

quadrilaterals, and polygons by

composing into rectangles or

decomposing into triangles and other

shapes; apply these techniques in the

context of solving real-world and

mathematical problems.

**Finding Area**

Estimating and Finding Area

What is area?

Make sure that your units are always squared when you write the area

A = 4 x 4

A = 16 ft

Rectangle

Area equals Length times Width

A = L x W

Area equals base times the height

A = B x H

Real-life Connection

Mr. Z wants to get rid of the carpet in his classroom and put down tiles instead. The tiles at Home Depot are one foot by one foot squares. He measured his classroom and found out the room is 16 feet by 10 feet.

Area of Irregular Shapes

Break the shape up into squares, rectangles, and triangles. Then find the area of each piece and add them all up.

Finding Area

Jill Elberson

Area is the space that covers a shape

Area equals Length times Width

A = L x W

2

A = 55 in

A = 11 x 5

5 in

11 in

2

Square

A = 4 x 10

A = 1/2 B x H

A = 40 cm

A = 1/2 x 8 x 10

8 cm

10 cm

Area = 1/2 Base x Height

Area equals One half of the base times the height

2

A = L x W

Triangle

Be Careful! The height is NOT the same thing as the side!!

5 m

7 m

7 m

9 m

A = 5 x 9

A = 45 m

9 m

2

16 ft.

10 ft.

How many tiles will it take to cover the floor?

A = L x W

A = 10 x 16

A = 160

How do I find the area of a weird shape?

Area = 77 + 55 + 18

Area = 150 ft

2

Area of green space = 240 – 120 = 120 in2

Area of triangle = 1/2 x 20 x 12 = 120 in2

Area of whole rectangle = 12 x 20 = 240 in2

What is the area of the green space?

12 in

20 in

Area = (5 x 30) + (10 x 8)

Area = 230 ft2

5 ft

15 ft

7 ft

30 ft

10 ft

SOLVE

Parallelogram