Area of Trapezoids

1
Area of Trapezoids
2
Draw a trapezoid.
3
Label your trapezoid.
Base 2
Height
Base 1
4
Cut your trapezoid in half (lengthwise).
Base 2
Height
Base 1
5
Cut your trapezoid in half (lengthwise).
Base 2
½ Height
½ Height
Base 1
6
Now, rearrange your pieces to make a
parallelogram.
Base 2
½ Height
½ Height
Base 1
7
Now, rearrange your pieces to make a
parallelogram.
Base 2
½ Height
½ Height
Base 1
8
Now, rearrange your pieces to make a
parallelogram.
½ Height
Base 2
½ Height
Base 1
9
Now, rearrange your pieces to make a
parallelogram.
½ Height
Base 2
½ Height
Base 1
10
Now, rearrange your pieces to make a
parallelogram.
½ Height
Base 2
½ Height
Base 1
11
Now, rearrange your pieces to make a
parallelogram.
½ Height
½ Height
Base 1
Base 2
12
Now, rearrange your pieces to make a
parallelogram.
½ Height
½ Height
Base 1
Base 2
13
Now find the area of your parallelogram.
½ Height
½ Height
½ Height
Base 1
Base 2
(Base 1 Base 2)
14
Now find the area of your parallelogram.
AREA ½ Height x (Base 1 Base 2)
½ Height
½ Height
½ Height
Base 1
Base 2
(Base 1 Base 2)
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1) Find the area of the trapezoid.
8 ft
6 ft
12 ft
16
1) Find the area of the trapezoid.
8 ft
6 ft
12 ft
AREA ½ of 6 x (12 8) 60 sq. ft.
17
2) Find the area of the trapezoid.
15 ft
12 ft
22 ft
18
2) Find the area of the trapezoid.
15 ft
12 ft
22 ft
AREA ½ of 12 x (22 15) 222 sq. ft.
19
3) Find the area of the trapezoid.
32 ft
24 ft
40 ft
20
3) Find the area of the trapezoid.
32 ft
24 ft
40 ft
AREA ½ of 24 x (40 32) 864 sq. ft.
21
4) Find the area of the trapezoid.
9.8 ft
8 ft
12.3 ft
22
4) Find the area of the trapezoid.
9.8 ft
8 ft
12.3 ft
AREA ½ of 8 x (12.3 9.8) 88.4 sq. ft.
23
5) Find the area of the trapezoid.
15.6 ft
20 ft
28.25 ft
24
5) Find the area of the trapezoid.
15.6 ft
20 ft
28.25 ft
AREA ½ of 20 x (15.6 28.25) 438.5 sq. ft.